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Finding the Fourth Proportional to 138,330, 207,547.30 and 54,150.32

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Solution

The fourth proportional to 138,330, 207,547.30 and 54,150.32 is: 81,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,330 : 207,547.30 = 54,150.32 : x
  2. Step 2: Convert to fraction form
    138,330/207,547.30 = 54,150.32/x
  3. Step 3: Cross multiply
    138,330x = 207,547.30 × 54,150.32
  4. Step 4: Simplify right side
    138,330x = 11,238,752,710.14
  5. Step 5: Solve for x
    x = 11,238,752,710.14/138,330
  6. Step 6: Final answer
    x = 81,245.95

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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.