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Finding the Fourth Proportional to 77,021.20, 115,531.80 and 24,434.80

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Solution

The fourth proportional to 77,021.20, 115,531.80 and 24,434.80 is: 36,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,021.20 : 115,531.80 = 24,434.80 : x
  2. Step 2: Convert to fraction form
    77,021.20/115,531.80 = 24,434.80/x
  3. Step 3: Cross multiply
    77,021.20x = 115,531.80 × 24,434.80
  4. Step 4: Simplify right side
    77,021.20x = 2,822,996,426.64
  5. Step 5: Solve for x
    x = 2,822,996,426.64/77,021.20
  6. Step 6: Final answer
    x = 36,652.20

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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.