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Finding the Fourth Proportional to 143,863.76, 198,531.36 and 83,446.64

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Solution

The fourth proportional to 143,863.76, 198,531.36 and 83,446.64 is: 115,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,863.76 : 198,531.36 = 83,446.64 : x
  2. Step 2: Convert to fraction form
    143,863.76/198,531.36 = 83,446.64/x
  3. Step 3: Cross multiply
    143,863.76x = 198,531.36 × 83,446.64
  4. Step 4: Simplify right side
    143,863.76x = 16,566,774,926.63
  5. Step 5: Solve for x
    x = 16,566,774,926.63/143,863.76
  6. Step 6: Final answer
    x = 115,156.00

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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.