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Finding the Fourth Proportional to 201,490.64, 302,132.28 and 83,139.92

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Solution

The fourth proportional to 201,490.64, 302,132.28 and 83,139.92 is: 124,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,490.64 : 302,132.28 = 83,139.92 : x
  2. Step 2: Convert to fraction form
    201,490.64/302,132.28 = 83,139.92/x
  3. Step 3: Cross multiply
    201,490.64x = 302,132.28 × 83,139.92
  4. Step 4: Simplify right side
    201,490.64x = 25,119,253,588.62
  5. Step 5: Solve for x
    x = 25,119,253,588.62/201,490.64
  6. Step 6: Final answer
    x = 124,667.10

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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.