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Finding the Fourth Proportional to 136,681, 205,023.32 and 47,937.09

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Solution

The fourth proportional to 136,681, 205,023.32 and 47,937.09 is: 71,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,681 : 205,023.32 = 47,937.09 : x
  2. Step 2: Convert to fraction form
    136,681/205,023.32 = 47,937.09/x
  3. Step 3: Cross multiply
    136,681x = 205,023.32 × 47,937.09
  4. Step 4: Simplify right side
    136,681x = 9,828,221,342.94
  5. Step 5: Solve for x
    x = 9,828,221,342.94/136,681
  6. Step 6: Final answer
    x = 71,906.27

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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.