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Finding the Fourth Proportional to 103,493.16, 142,720.92 and 62,649

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Solution

The fourth proportional to 103,493.16, 142,720.92 and 62,649 is: 86,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,493.16 : 142,720.92 = 62,649 : x
  2. Step 2: Convert to fraction form
    103,493.16/142,720.92 = 62,649/x
  3. Step 3: Cross multiply
    103,493.16x = 142,720.92 × 62,649
  4. Step 4: Simplify right side
    103,493.16x = 8,941,322,917.08
  5. Step 5: Solve for x
    x = 8,941,322,917.08/103,493.16
  6. Step 6: Final answer
    x = 86,395.30

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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.