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Finding the Fourth Proportional to 76,373.96, 105,387.52 and 42,381.32

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Solution

The fourth proportional to 76,373.96, 105,387.52 and 42,381.32 is: 58,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,373.96 : 105,387.52 = 42,381.32 : x
  2. Step 2: Convert to fraction form
    76,373.96/105,387.52 = 42,381.32/x
  3. Step 3: Cross multiply
    76,373.96x = 105,387.52 × 42,381.32
  4. Step 4: Simplify right side
    76,373.96x = 4,466,462,209.13
  5. Step 5: Solve for x
    x = 4,466,462,209.13/76,373.96
  6. Step 6: Final answer
    x = 58,481.48

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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.