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Finding the Fourth Proportional to 147,092.52, 202,989.06 and 87,465

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Solution

The fourth proportional to 147,092.52, 202,989.06 and 87,465 is: 120,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,092.52 : 202,989.06 = 87,465 : x
  2. Step 2: Convert to fraction form
    147,092.52/202,989.06 = 87,465/x
  3. Step 3: Cross multiply
    147,092.52x = 202,989.06 × 87,465
  4. Step 4: Simplify right side
    147,092.52x = 17,754,438,132.90
  5. Step 5: Solve for x
    x = 17,754,438,132.90/147,092.52
  6. Step 6: Final answer
    x = 120,702.52

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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.