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Finding the Fourth Proportional to 147,043.70, 202,957.33 and 83,419.70

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Solution

The fourth proportional to 147,043.70, 202,957.33 and 83,419.70 is: 115,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,043.70 : 202,957.33 = 83,419.70 : x
  2. Step 2: Convert to fraction form
    147,043.70/202,957.33 = 83,419.70/x
  3. Step 3: Cross multiply
    147,043.70x = 202,957.33 × 83,419.70
  4. Step 4: Simplify right side
    147,043.70x = 16,930,639,581.40
  5. Step 5: Solve for x
    x = 16,930,639,581.40/147,043.70
  6. Step 6: Final answer
    x = 115,140.19

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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.