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Finding the Fourth Proportional to 80,387, 120,580.50 and 31,139

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Solution

The fourth proportional to 80,387, 120,580.50 and 31,139 is: 46,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387 : 120,580.50 = 31,139 : x
  2. Step 2: Convert to fraction form
    80,387/120,580.50 = 31,139/x
  3. Step 3: Cross multiply
    80,387x = 120,580.50 × 31,139
  4. Step 4: Simplify right side
    80,387x = 3,754,756,189.50
  5. Step 5: Solve for x
    x = 3,754,756,189.50/80,387
  6. Step 6: Final answer
    x = 46,708.50

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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.