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Finding the Fourth Proportional to 66,613.96, 99,970.22 and 31,553.70

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Solution

The fourth proportional to 66,613.96, 99,970.22 and 31,553.70 is: 47,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,613.96 : 99,970.22 = 31,553.70 : x
  2. Step 2: Convert to fraction form
    66,613.96/99,970.22 = 31,553.70/x
  3. Step 3: Cross multiply
    66,613.96x = 99,970.22 × 31,553.70
  4. Step 4: Simplify right side
    66,613.96x = 3,154,430,330.81
  5. Step 5: Solve for x
    x = 3,154,430,330.81/66,613.96
  6. Step 6: Final answer
    x = 47,353.89

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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.