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Finding the Fourth Proportional to 66,462.60, 99,722.70 and 31,384.20

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Solution

The fourth proportional to 66,462.60, 99,722.70 and 31,384.20 is: 47,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,462.60 : 99,722.70 = 31,384.20 : x
  2. Step 2: Convert to fraction form
    66,462.60/99,722.70 = 31,384.20/x
  3. Step 3: Cross multiply
    66,462.60x = 99,722.70 × 31,384.20
  4. Step 4: Simplify right side
    66,462.60x = 3,129,717,161.34
  5. Step 5: Solve for x
    x = 3,129,717,161.34/66,462.60
  6. Step 6: Final answer
    x = 47,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.