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Finding the Fourth Proportional to 137,374.74, 206,091.70 and 42,603.01

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Solution

The fourth proportional to 137,374.74, 206,091.70 and 42,603.01 is: 63,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,374.74 : 206,091.70 = 42,603.01 : x
  2. Step 2: Convert to fraction form
    137,374.74/206,091.70 = 42,603.01/x
  3. Step 3: Cross multiply
    137,374.74x = 206,091.70 × 42,603.01
  4. Step 4: Simplify right side
    137,374.74x = 8,780,126,134.28
  5. Step 5: Solve for x
    x = 8,780,126,134.28/137,374.74
  6. Step 6: Final answer
    x = 63,913.69

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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.