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Finding the Fourth Proportional to 80,792, 121,207.68 and 25,388

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Solution

The fourth proportional to 80,792, 121,207.68 and 25,388 is: 38,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,792 : 121,207.68 = 25,388 : x
  2. Step 2: Convert to fraction form
    80,792/121,207.68 = 25,388/x
  3. Step 3: Cross multiply
    80,792x = 121,207.68 × 25,388
  4. Step 4: Simplify right side
    80,792x = 3,077,220,579.84
  5. Step 5: Solve for x
    x = 3,077,220,579.84/80,792
  6. Step 6: Final answer
    x = 38,088.18

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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.