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Finding the Fourth Proportional to 143,697.17, 198,301.96 and 83,302.78

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Solution

The fourth proportional to 143,697.17, 198,301.96 and 83,302.78 is: 114,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,697.17 : 198,301.96 = 83,302.78 : x
  2. Step 2: Convert to fraction form
    143,697.17/198,301.96 = 83,302.78/x
  3. Step 3: Cross multiply
    143,697.17x = 198,301.96 × 83,302.78
  4. Step 4: Simplify right side
    143,697.17x = 16,519,104,547.45
  5. Step 5: Solve for x
    x = 16,519,104,547.45/143,697.17
  6. Step 6: Final answer
    x = 114,957.76

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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.