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Finding the Fourth Proportional to 99,987.84, 149,981.76 and 40,043.28

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Solution

The fourth proportional to 99,987.84, 149,981.76 and 40,043.28 is: 60,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,987.84 : 149,981.76 = 40,043.28 : x
  2. Step 2: Convert to fraction form
    99,987.84/149,981.76 = 40,043.28/x
  3. Step 3: Cross multiply
    99,987.84x = 149,981.76 × 40,043.28
  4. Step 4: Simplify right side
    99,987.84x = 6,005,761,610.57
  5. Step 5: Solve for x
    x = 6,005,761,610.57/99,987.84
  6. Step 6: Final answer
    x = 60,064.92

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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.