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Finding the Fourth Proportional to 136,707, 205,068.18 and 38,218.68

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Solution

The fourth proportional to 136,707, 205,068.18 and 38,218.68 is: 57,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,707 : 205,068.18 = 38,218.68 : x
  2. Step 2: Convert to fraction form
    136,707/205,068.18 = 38,218.68/x
  3. Step 3: Cross multiply
    136,707x = 205,068.18 × 38,218.68
  4. Step 4: Simplify right side
    136,707x = 7,837,435,149.60
  5. Step 5: Solve for x
    x = 7,837,435,149.60/136,707
  6. Step 6: Final answer
    x = 57,330.17

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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.