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Finding the Fourth Proportional to 137,856.80, 206,785.20 and 38,032.40

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Solution

The fourth proportional to 137,856.80, 206,785.20 and 38,032.40 is: 57,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,856.80 : 206,785.20 = 38,032.40 : x
  2. Step 2: Convert to fraction form
    137,856.80/206,785.20 = 38,032.40/x
  3. Step 3: Cross multiply
    137,856.80x = 206,785.20 × 38,032.40
  4. Step 4: Simplify right side
    137,856.80x = 7,864,537,440.48
  5. Step 5: Solve for x
    x = 7,864,537,440.48/137,856.80
  6. Step 6: Final answer
    x = 57,048.60

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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.