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Finding the Fourth Proportional to 122,695.70, 169,269.76 and 77,359.20

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Solution

The fourth proportional to 122,695.70, 169,269.76 and 77,359.20 is: 106,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,695.70 : 169,269.76 = 77,359.20 : x
  2. Step 2: Convert to fraction form
    122,695.70/169,269.76 = 77,359.20/x
  3. Step 3: Cross multiply
    122,695.70x = 169,269.76 × 77,359.20
  4. Step 4: Simplify right side
    122,695.70x = 13,094,573,217.79
  5. Step 5: Solve for x
    x = 13,094,573,217.79/122,695.70
  6. Step 6: Final answer
    x = 106,723.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.