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Finding the Fourth Proportional to 99,712, 137,612.28 and 55,000

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Solution

The fourth proportional to 99,712, 137,612.28 and 55,000 is: 75,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,712 : 137,612.28 = 55,000 : x
  2. Step 2: Convert to fraction form
    99,712/137,612.28 = 55,000/x
  3. Step 3: Cross multiply
    99,712x = 137,612.28 × 55,000
  4. Step 4: Simplify right side
    99,712x = 7,568,675,400
  5. Step 5: Solve for x
    x = 7,568,675,400/99,712
  6. Step 6: Final answer
    x = 75,905.36

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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.