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Finding the Fourth Proportional to 80,769, 121,154.60 and 25,365

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Solution

The fourth proportional to 80,769, 121,154.60 and 25,365 is: 38,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,769 : 121,154.60 = 25,365 : x
  2. Step 2: Convert to fraction form
    80,769/121,154.60 = 25,365/x
  3. Step 3: Cross multiply
    80,769x = 121,154.60 × 25,365
  4. Step 4: Simplify right side
    80,769x = 3,073,086,429
  5. Step 5: Solve for x
    x = 3,073,086,429/80,769
  6. Step 6: Final answer
    x = 38,047.85

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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.