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Finding the Fourth Proportional to 66,614.96, 99,971.72 and 31,554.70

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Solution

The fourth proportional to 66,614.96, 99,971.72 and 31,554.70 is: 47,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,614.96 : 99,971.72 = 31,554.70 : x
  2. Step 2: Convert to fraction form
    66,614.96/99,971.72 = 31,554.70/x
  3. Step 3: Cross multiply
    66,614.96x = 99,971.72 × 31,554.70
  4. Step 4: Simplify right side
    66,614.96x = 3,154,577,633.08
  5. Step 5: Solve for x
    x = 3,154,577,633.08/66,614.96
  6. Step 6: Final answer
    x = 47,355.39

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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.