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Finding the Fourth Proportional to 115,429.80, 172,869.30 and 56,074.80

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Solution

The fourth proportional to 115,429.80, 172,869.30 and 56,074.80 is: 83,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,429.80 : 172,869.30 = 56,074.80 : x
  2. Step 2: Convert to fraction form
    115,429.80/172,869.30 = 56,074.80/x
  3. Step 3: Cross multiply
    115,429.80x = 172,869.30 × 56,074.80
  4. Step 4: Simplify right side
    115,429.80x = 9,693,611,423.64
  5. Step 5: Solve for x
    x = 9,693,611,423.64/115,429.80
  6. Step 6: Final answer
    x = 83,978.41

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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.