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Finding the Fourth Proportional to 55,761.60, 83,642.40 and 39,140.40

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Solution

The fourth proportional to 55,761.60, 83,642.40 and 39,140.40 is: 58,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,761.60 : 83,642.40 = 39,140.40 : x
  2. Step 2: Convert to fraction form
    55,761.60/83,642.40 = 39,140.40/x
  3. Step 3: Cross multiply
    55,761.60x = 83,642.40 × 39,140.40
  4. Step 4: Simplify right side
    55,761.60x = 3,273,796,992.96
  5. Step 5: Solve for x
    x = 3,273,796,992.96/55,761.60
  6. Step 6: Final answer
    x = 58,710.60

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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.