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Finding the Fourth Proportional to 100,923.84, 151,127.28 and 84,242.40

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Solution

The fourth proportional to 100,923.84, 151,127.28 and 84,242.40 is: 126,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,923.84 : 151,127.28 = 84,242.40 : x
  2. Step 2: Convert to fraction form
    100,923.84/151,127.28 = 84,242.40/x
  3. Step 3: Cross multiply
    100,923.84x = 151,127.28 × 84,242.40
  4. Step 4: Simplify right side
    100,923.84x = 12,731,324,772.67
  5. Step 5: Solve for x
    x = 12,731,324,772.67/100,923.84
  6. Step 6: Final answer
    x = 126,147.84

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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.