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Finding the Fourth Proportional to 137,663.96, 206,373.60 and 48,905.76

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Solution

The fourth proportional to 137,663.96, 206,373.60 and 48,905.76 is: 73,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,663.96 : 206,373.60 = 48,905.76 : x
  2. Step 2: Convert to fraction form
    137,663.96/206,373.60 = 48,905.76/x
  3. Step 3: Cross multiply
    137,663.96x = 206,373.60 × 48,905.76
  4. Step 4: Simplify right side
    137,663.96x = 10,092,857,751.94
  5. Step 5: Solve for x
    x = 10,092,857,751.94/137,663.96
  6. Step 6: Final answer
    x = 73,315.18

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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.