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Finding the Fourth Proportional to 138,409, 207,628.08 and 63,516.40

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Solution

The fourth proportional to 138,409, 207,628.08 and 63,516.40 is: 95,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409 : 207,628.08 = 63,516.40 : x
  2. Step 2: Convert to fraction form
    138,409/207,628.08 = 63,516.40/x
  3. Step 3: Cross multiply
    138,409x = 207,628.08 × 63,516.40
  4. Step 4: Simplify right side
    138,409x = 13,187,788,180.51
  5. Step 5: Solve for x
    x = 13,187,788,180.51/138,409
  6. Step 6: Final answer
    x = 95,281.29

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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.