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Finding the Fourth Proportional to 137,443.87, 206,155.99 and 42,671.76

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Solution

The fourth proportional to 137,443.87, 206,155.99 and 42,671.76 is: 64,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,443.87 : 206,155.99 = 42,671.76 : x
  2. Step 2: Convert to fraction form
    137,443.87/206,155.99 = 42,671.76/x
  3. Step 3: Cross multiply
    137,443.87x = 206,155.99 × 42,671.76
  4. Step 4: Simplify right side
    137,443.87x = 8,797,038,927.84
  5. Step 5: Solve for x
    x = 8,797,038,927.84/137,443.87
  6. Step 6: Final answer
    x = 64,004.59

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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.