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Finding the Fourth Proportional to 66,609.54, 99,963.60 and 31,549.30

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Solution

The fourth proportional to 66,609.54, 99,963.60 and 31,549.30 is: 47,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609.54 : 99,963.60 = 31,549.30 : x
  2. Step 2: Convert to fraction form
    66,609.54/99,963.60 = 31,549.30/x
  3. Step 3: Cross multiply
    66,609.54x = 99,963.60 × 31,549.30
  4. Step 4: Simplify right side
    66,609.54x = 3,153,781,605.48
  5. Step 5: Solve for x
    x = 3,153,781,605.48/66,609.54
  6. Step 6: Final answer
    x = 47,347.30

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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.