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Finding the Fourth Proportional to 123,031.94, 169,784.08 and 66,443.32

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Solution

The fourth proportional to 123,031.94, 169,784.08 and 66,443.32 is: 91,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,031.94 : 169,784.08 = 66,443.32 : x
  2. Step 2: Convert to fraction form
    123,031.94/169,784.08 = 66,443.32/x
  3. Step 3: Cross multiply
    123,031.94x = 169,784.08 × 66,443.32
  4. Step 4: Simplify right side
    123,031.94x = 11,281,017,958.35
  5. Step 5: Solve for x
    x = 11,281,017,958.35/123,031.94
  6. Step 6: Final answer
    x = 91,691.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.