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Finding the Fourth Proportional to 147,043.20, 202,956.64 and 83,419.20

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Solution

The fourth proportional to 147,043.20, 202,956.64 and 83,419.20 is: 115,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,043.20 : 202,956.64 = 83,419.20 : x
  2. Step 2: Convert to fraction form
    147,043.20/202,956.64 = 83,419.20/x
  3. Step 3: Cross multiply
    147,043.20x = 202,956.64 × 83,419.20
  4. Step 4: Simplify right side
    147,043.20x = 16,930,480,543.49
  5. Step 5: Solve for x
    x = 16,930,480,543.49/147,043.20
  6. Step 6: Final answer
    x = 115,139.50

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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.