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Finding the Fourth Proportional to 76,902.59, 106,125.44 and 42,909

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Solution

The fourth proportional to 76,902.59, 106,125.44 and 42,909 is: 59,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.59 : 106,125.44 = 42,909 : x
  2. Step 2: Convert to fraction form
    76,902.59/106,125.44 = 42,909/x
  3. Step 3: Cross multiply
    76,902.59x = 106,125.44 × 42,909
  4. Step 4: Simplify right side
    76,902.59x = 4,553,736,290.42
  5. Step 5: Solve for x
    x = 4,553,736,290.42/76,902.59
  6. Step 6: Final answer
    x = 59,214.35

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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.