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Finding the Fourth Proportional to 147,240, 203,191.20 and 87,624

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Solution

The fourth proportional to 147,240, 203,191.20 and 87,624 is: 120,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,240 : 203,191.20 = 87,624 : x
  2. Step 2: Convert to fraction form
    147,240/203,191.20 = 87,624/x
  3. Step 3: Cross multiply
    147,240x = 203,191.20 × 87,624
  4. Step 4: Simplify right side
    147,240x = 17,804,425,708.80
  5. Step 5: Solve for x
    x = 17,804,425,708.80/147,240
  6. Step 6: Final answer
    x = 120,921.12

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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.