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Finding the Fourth Proportional to 121,780.80, 182,978.40 and 77,428.80

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Solution

The fourth proportional to 121,780.80, 182,978.40 and 77,428.80 is: 116,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,780.80 : 182,978.40 = 77,428.80 : x
  2. Step 2: Convert to fraction form
    121,780.80/182,978.40 = 77,428.80/x
  3. Step 3: Cross multiply
    121,780.80x = 182,978.40 × 77,428.80
  4. Step 4: Simplify right side
    121,780.80x = 14,167,797,937.92
  5. Step 5: Solve for x
    x = 14,167,797,937.92/121,780.80
  6. Step 6: Final answer
    x = 116,338.52

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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.