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Finding the Fourth Proportional to 137,221.04, 205,802.76 and 38,702

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Solution

The fourth proportional to 137,221.04, 205,802.76 and 38,702 is: 58,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,221.04 : 205,802.76 = 38,702 : x
  2. Step 2: Convert to fraction form
    137,221.04/205,802.76 = 38,702/x
  3. Step 3: Cross multiply
    137,221.04x = 205,802.76 × 38,702
  4. Step 4: Simplify right side
    137,221.04x = 7,964,978,417.52
  5. Step 5: Solve for x
    x = 7,964,978,417.52/137,221.04
  6. Step 6: Final answer
    x = 58,044.88

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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.