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Finding the Fourth Proportional to 66,031.32, 99,063 and 37,969.32

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Solution

The fourth proportional to 66,031.32, 99,063 and 37,969.32 is: 56,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,031.32 : 99,063 = 37,969.32 : x
  2. Step 2: Convert to fraction form
    66,031.32/99,063 = 37,969.32/x
  3. Step 3: Cross multiply
    66,031.32x = 99,063 × 37,969.32
  4. Step 4: Simplify right side
    66,031.32x = 3,761,354,747.16
  5. Step 5: Solve for x
    x = 3,761,354,747.16/66,031.32
  6. Step 6: Final answer
    x = 56,963.19

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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.