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Finding the Fourth Proportional to 42,509.70, 63,764.55 and 38,718.90

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Solution

The fourth proportional to 42,509.70, 63,764.55 and 38,718.90 is: 58,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509.70 : 63,764.55 = 38,718.90 : x
  2. Step 2: Convert to fraction form
    42,509.70/63,764.55 = 38,718.90/x
  3. Step 3: Cross multiply
    42,509.70x = 63,764.55 × 38,718.90
  4. Step 4: Simplify right side
    42,509.70x = 2,468,893,235.00
  5. Step 5: Solve for x
    x = 2,468,893,235.00/42,509.70
  6. Step 6: Final answer
    x = 58,078.35

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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.