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Finding the Fourth Proportional to 114,669,578.80, 172,004,368.20 and 71,671,409.20

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Solution

The fourth proportional to 114,669,578.80, 172,004,368.20 and 71,671,409.20 is: 107,507,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,669,578.80 : 172,004,368.20 = 71,671,409.20 : x
  2. Step 2: Convert to fraction form
    114,669,578.80/172,004,368.20 = 71,671,409.20/x
  3. Step 3: Cross multiply
    114,669,578.80x = 172,004,368.20 × 71,671,409.20
  4. Step 4: Simplify right side
    114,669,578.80x = 12,327,795,457,449,668
  5. Step 5: Solve for x
    x = 12,327,795,457,449,668/114,669,578.80
  6. Step 6: Final answer
    x = 107,507,113.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.