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Finding the Fourth Proportional to 78,462.74, 108,280.70 and 42,655.17

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Solution

The fourth proportional to 78,462.74, 108,280.70 and 42,655.17 is: 58,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462.74 : 108,280.70 = 42,655.17 : x
  2. Step 2: Convert to fraction form
    78,462.74/108,280.70 = 42,655.17/x
  3. Step 3: Cross multiply
    78,462.74x = 108,280.70 × 42,655.17
  4. Step 4: Simplify right side
    78,462.74x = 4,618,732,018.95
  5. Step 5: Solve for x
    x = 4,618,732,018.95/78,462.74
  6. Step 6: Final answer
    x = 58,865.29

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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.