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Finding the Fourth Proportional to 80,464, 120,715.50 and 25,060

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Solution

The fourth proportional to 80,464, 120,715.50 and 25,060 is: 37,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464 : 120,715.50 = 25,060 : x
  2. Step 2: Convert to fraction form
    80,464/120,715.50 = 25,060/x
  3. Step 3: Cross multiply
    80,464x = 120,715.50 × 25,060
  4. Step 4: Simplify right side
    80,464x = 3,025,130,430
  5. Step 5: Solve for x
    x = 3,025,130,430/80,464
  6. Step 6: Final answer
    x = 37,596.07

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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.