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Finding the Fourth Proportional to 138,124.64, 207,537.20 and 128,837.12

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Solution

The fourth proportional to 138,124.64, 207,537.20 and 128,837.12 is: 193,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,124.64 : 207,537.20 = 128,837.12 : x
  2. Step 2: Convert to fraction form
    138,124.64/207,537.20 = 128,837.12/x
  3. Step 3: Cross multiply
    138,124.64x = 207,537.20 × 128,837.12
  4. Step 4: Simplify right side
    138,124.64x = 26,738,495,140.86
  5. Step 5: Solve for x
    x = 26,738,495,140.86/138,124.64
  6. Step 6: Final answer
    x = 193,582.37

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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.