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Finding the Fourth Proportional to 71,353.74, 106,449.54 and 65,567.78

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Solution

The fourth proportional to 71,353.74, 106,449.54 and 65,567.78 is: 97,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,353.74 : 106,449.54 = 65,567.78 : x
  2. Step 2: Convert to fraction form
    71,353.74/106,449.54 = 65,567.78/x
  3. Step 3: Cross multiply
    71,353.74x = 106,449.54 × 65,567.78
  4. Step 4: Simplify right side
    71,353.74x = 6,979,660,019.82
  5. Step 5: Solve for x
    x = 6,979,660,019.82/71,353.74
  6. Step 6: Final answer
    x = 97,817.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.