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Finding the Fourth Proportional to 103,954.45, 143,457.20 and 56,207.80

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Solution

The fourth proportional to 103,954.45, 143,457.20 and 56,207.80 is: 77,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954.45 : 143,457.20 = 56,207.80 : x
  2. Step 2: Convert to fraction form
    103,954.45/143,457.20 = 56,207.80/x
  3. Step 3: Cross multiply
    103,954.45x = 143,457.20 × 56,207.80
  4. Step 4: Simplify right side
    103,954.45x = 8,063,413,325.12
  5. Step 5: Solve for x
    x = 8,063,413,325.12/103,954.45
  6. Step 6: Final answer
    x = 77,566.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.