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Finding the Fourth Proportional to 100,740.25, 150,818.55 and 75,884.98

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Solution

The fourth proportional to 100,740.25, 150,818.55 and 75,884.98 is: 113,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,740.25 : 150,818.55 = 75,884.98 : x
  2. Step 2: Convert to fraction form
    100,740.25/150,818.55 = 75,884.98/x
  3. Step 3: Cross multiply
    100,740.25x = 150,818.55 × 75,884.98
  4. Step 4: Simplify right side
    100,740.25x = 11,444,862,650.38
  5. Step 5: Solve for x
    x = 11,444,862,650.38/100,740.25
  6. Step 6: Final answer
    x = 113,607.65

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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.