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Finding the Fourth Proportional to 66,609.86, 99,964.08 and 31,549.61

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Solution

The fourth proportional to 66,609.86, 99,964.08 and 31,549.61 is: 47,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609.86 : 99,964.08 = 31,549.61 : x
  2. Step 2: Convert to fraction form
    66,609.86/99,964.08 = 31,549.61/x
  3. Step 3: Cross multiply
    66,609.86x = 99,964.08 × 31,549.61
  4. Step 4: Simplify right side
    66,609.86x = 3,153,827,238.19
  5. Step 5: Solve for x
    x = 3,153,827,238.19/66,609.86
  6. Step 6: Final answer
    x = 47,347.76

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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.