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Finding the Fourth Proportional to 147,310.68, 203,281.50 and 83,640.12

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Solution

The fourth proportional to 147,310.68, 203,281.50 and 83,640.12 is: 115,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,310.68 : 203,281.50 = 83,640.12 : x
  2. Step 2: Convert to fraction form
    147,310.68/203,281.50 = 83,640.12/x
  3. Step 3: Cross multiply
    147,310.68x = 203,281.50 × 83,640.12
  4. Step 4: Simplify right side
    147,310.68x = 17,002,489,053.78
  5. Step 5: Solve for x
    x = 17,002,489,053.78/147,310.68
  6. Step 6: Final answer
    x = 115,419.26

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1.5x scale

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.