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Finding the Fourth Proportional to 101,344.80, 151,844.40 and 83,719.20

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Solution

The fourth proportional to 101,344.80, 151,844.40 and 83,719.20 is: 125,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344.80 : 151,844.40 = 83,719.20 : x
  2. Step 2: Convert to fraction form
    101,344.80/151,844.40 = 83,719.20/x
  3. Step 3: Cross multiply
    101,344.80x = 151,844.40 × 83,719.20
  4. Step 4: Simplify right side
    101,344.80x = 12,712,291,692.48
  5. Step 5: Solve for x
    x = 12,712,291,692.48/101,344.80
  6. Step 6: Final answer
    x = 125,436.05

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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.