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Finding the Fourth Proportional to 140,400, 193,750.40 and 76,737.60

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Solution

The fourth proportional to 140,400, 193,750.40 and 76,737.60 is: 105,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,400 : 193,750.40 = 76,737.60 : x
  2. Step 2: Convert to fraction form
    140,400/193,750.40 = 76,737.60/x
  3. Step 3: Cross multiply
    140,400x = 193,750.40 × 76,737.60
  4. Step 4: Simplify right side
    140,400x = 14,867,940,695.04
  5. Step 5: Solve for x
    x = 14,867,940,695.04/140,400
  6. Step 6: Final answer
    x = 105,897.01

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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.