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Finding the Fourth Proportional to 80,767, 121,151.60 and 25,363

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Solution

The fourth proportional to 80,767, 121,151.60 and 25,363 is: 38,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,767 : 121,151.60 = 25,363 : x
  2. Step 2: Convert to fraction form
    80,767/121,151.60 = 25,363/x
  3. Step 3: Cross multiply
    80,767x = 121,151.60 × 25,363
  4. Step 4: Simplify right side
    80,767x = 3,072,768,030.80
  5. Step 5: Solve for x
    x = 3,072,768,030.80/80,767
  6. Step 6: Final answer
    x = 38,044.85

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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.