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Finding the Fourth Proportional to 147,132, 203,042.16 and 87,516

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Solution

The fourth proportional to 147,132, 203,042.16 and 87,516 is: 120,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,132 : 203,042.16 = 87,516 : x
  2. Step 2: Convert to fraction form
    147,132/203,042.16 = 87,516/x
  3. Step 3: Cross multiply
    147,132x = 203,042.16 × 87,516
  4. Step 4: Simplify right side
    147,132x = 17,769,437,674.56
  5. Step 5: Solve for x
    x = 17,769,437,674.56/147,132
  6. Step 6: Final answer
    x = 120,772.08

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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.