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Finding the Fourth Proportional to 101,140.80, 151,711.20 and 99,828.60

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Solution

The fourth proportional to 101,140.80, 151,711.20 and 99,828.60 is: 149,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,140.80 : 151,711.20 = 99,828.60 : x
  2. Step 2: Convert to fraction form
    101,140.80/151,711.20 = 99,828.60/x
  3. Step 3: Cross multiply
    101,140.80x = 151,711.20 × 99,828.60
  4. Step 4: Simplify right side
    101,140.80x = 15,145,116,700.32
  5. Step 5: Solve for x
    x = 15,145,116,700.32/101,140.80
  6. Step 6: Final answer
    x = 149,742.90

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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.