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Finding the Fourth Proportional to 137,043.67, 205,587.66 and 42,251.67

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Solution

The fourth proportional to 137,043.67, 205,587.66 and 42,251.67 is: 63,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,043.67 : 205,587.66 = 42,251.67 : x
  2. Step 2: Convert to fraction form
    137,043.67/205,587.66 = 42,251.67/x
  3. Step 3: Cross multiply
    137,043.67x = 205,587.66 × 42,251.67
  4. Step 4: Simplify right side
    137,043.67x = 8,686,420,938.45
  5. Step 5: Solve for x
    x = 8,686,420,938.45/137,043.67
  6. Step 6: Final answer
    x = 63,384.33

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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.