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Finding the Fourth Proportional to 100,757.50, 139,046.16 and 56,045.50

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Solution

The fourth proportional to 100,757.50, 139,046.16 and 56,045.50 is: 77,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,757.50 : 139,046.16 = 56,045.50 : x
  2. Step 2: Convert to fraction form
    100,757.50/139,046.16 = 56,045.50/x
  3. Step 3: Cross multiply
    100,757.50x = 139,046.16 × 56,045.50
  4. Step 4: Simplify right side
    100,757.50x = 7,792,911,560.28
  5. Step 5: Solve for x
    x = 7,792,911,560.28/100,757.50
  6. Step 6: Final answer
    x = 77,343.24

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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.