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Finding the Fourth Proportional to 137,432.60, 206,148.90 and 106,328.60

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Solution

The fourth proportional to 137,432.60, 206,148.90 and 106,328.60 is: 159,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,432.60 : 206,148.90 = 106,328.60 : x
  2. Step 2: Convert to fraction form
    137,432.60/206,148.90 = 106,328.60/x
  3. Step 3: Cross multiply
    137,432.60x = 206,148.90 × 106,328.60
  4. Step 4: Simplify right side
    137,432.60x = 21,919,523,928.54
  5. Step 5: Solve for x
    x = 21,919,523,928.54/137,432.60
  6. Step 6: Final answer
    x = 159,492.90

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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.