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Finding the Fourth Proportional to 71,842.61, 99,145.87 and 40,011.50

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Solution

The fourth proportional to 71,842.61, 99,145.87 and 40,011.50 is: 55,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.61 : 99,145.87 = 40,011.50 : x
  2. Step 2: Convert to fraction form
    71,842.61/99,145.87 = 40,011.50/x
  3. Step 3: Cross multiply
    71,842.61x = 99,145.87 × 40,011.50
  4. Step 4: Simplify right side
    71,842.61x = 3,966,975,125.34
  5. Step 5: Solve for x
    x = 3,966,975,125.34/71,842.61
  6. Step 6: Final answer
    x = 55,217.58

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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.