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Finding the Fourth Proportional to 119,126.52, 164,394.90 and 65,415.02

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Solution

The fourth proportional to 119,126.52, 164,394.90 and 65,415.02 is: 90,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,126.52 : 164,394.90 = 65,415.02 : x
  2. Step 2: Convert to fraction form
    119,126.52/164,394.90 = 65,415.02/x
  3. Step 3: Cross multiply
    119,126.52x = 164,394.90 × 65,415.02
  4. Step 4: Simplify right side
    119,126.52x = 10,753,894,849.42
  5. Step 5: Solve for x
    x = 10,753,894,849.42/119,126.52
  6. Step 6: Final answer
    x = 90,272.89

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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.