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Finding the Fourth Proportional to 122,784, 169,441.92 and 69,792

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Solution

The fourth proportional to 122,784, 169,441.92 and 69,792 is: 96,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784 : 169,441.92 = 69,792 : x
  2. Step 2: Convert to fraction form
    122,784/169,441.92 = 69,792/x
  3. Step 3: Cross multiply
    122,784x = 169,441.92 × 69,792
  4. Step 4: Simplify right side
    122,784x = 11,825,690,480.64
  5. Step 5: Solve for x
    x = 11,825,690,480.64/122,784
  6. Step 6: Final answer
    x = 96,312.96

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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.