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Finding the Fourth Proportional to 137,652.80, 206,430.60 and 48,909.20

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Solution

The fourth proportional to 137,652.80, 206,430.60 and 48,909.20 is: 73,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,652.80 : 206,430.60 = 48,909.20 : x
  2. Step 2: Convert to fraction form
    137,652.80/206,430.60 = 48,909.20/x
  3. Step 3: Cross multiply
    137,652.80x = 206,430.60 × 48,909.20
  4. Step 4: Simplify right side
    137,652.80x = 10,096,355,501.52
  5. Step 5: Solve for x
    x = 10,096,355,501.52/137,652.80
  6. Step 6: Final answer
    x = 73,346.53

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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.