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Finding the Fourth Proportional to 143,900.79, 198,534.75 and 83,449.40

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Solution

The fourth proportional to 143,900.79, 198,534.75 and 83,449.40 is: 115,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,900.79 : 198,534.75 = 83,449.40 : x
  2. Step 2: Convert to fraction form
    143,900.79/198,534.75 = 83,449.40/x
  3. Step 3: Cross multiply
    143,900.79x = 198,534.75 × 83,449.40
  4. Step 4: Simplify right side
    143,900.79x = 16,567,604,773.98
  5. Step 5: Solve for x
    x = 16,567,604,773.98/143,900.79
  6. Step 6: Final answer
    x = 115,132.13

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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.