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Finding the Fourth Proportional to 84,223.60, 126,043.80 and 77,225.20

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Solution

The fourth proportional to 84,223.60, 126,043.80 and 77,225.20 is: 115,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,223.60 : 126,043.80 = 77,225.20 : x
  2. Step 2: Convert to fraction form
    84,223.60/126,043.80 = 77,225.20/x
  3. Step 3: Cross multiply
    84,223.60x = 126,043.80 × 77,225.20
  4. Step 4: Simplify right side
    84,223.60x = 9,733,757,663.76
  5. Step 5: Solve for x
    x = 9,733,757,663.76/84,223.60
  6. Step 6: Final answer
    x = 115,570.43

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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.