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Finding the Fourth Proportional to 100,737.60, 151,106.40 and 30,607.80

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Solution

The fourth proportional to 100,737.60, 151,106.40 and 30,607.80 is: 45,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,737.60 : 151,106.40 = 30,607.80 : x
  2. Step 2: Convert to fraction form
    100,737.60/151,106.40 = 30,607.80/x
  3. Step 3: Cross multiply
    100,737.60x = 151,106.40 × 30,607.80
  4. Step 4: Simplify right side
    100,737.60x = 4,625,034,469.92
  5. Step 5: Solve for x
    x = 4,625,034,469.92/100,737.60
  6. Step 6: Final answer
    x = 45,911.70

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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.