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Finding the Fourth Proportional to 122,957.60, 169,683.36 and 75,200.72

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Solution

The fourth proportional to 122,957.60, 169,683.36 and 75,200.72 is: 103,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,957.60 : 169,683.36 = 75,200.72 : x
  2. Step 2: Convert to fraction form
    122,957.60/169,683.36 = 75,200.72/x
  3. Step 3: Cross multiply
    122,957.60x = 169,683.36 × 75,200.72
  4. Step 4: Simplify right side
    122,957.60x = 12,760,310,844.02
  5. Step 5: Solve for x
    x = 12,760,310,844.02/122,957.60
  6. Step 6: Final answer
    x = 103,778.14

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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.