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Finding the Fourth Proportional to 147,091.52, 202,987.68 and 87,464

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Solution

The fourth proportional to 147,091.52, 202,987.68 and 87,464 is: 120,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,091.52 : 202,987.68 = 87,464 : x
  2. Step 2: Convert to fraction form
    147,091.52/202,987.68 = 87,464/x
  3. Step 3: Cross multiply
    147,091.52x = 202,987.68 × 87,464
  4. Step 4: Simplify right side
    147,091.52x = 17,754,114,443.52
  5. Step 5: Solve for x
    x = 17,754,114,443.52/147,091.52
  6. Step 6: Final answer
    x = 120,701.14

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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.