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Finding the Fourth Proportional to 202,808.50, 279,864.68 and 112,159.18

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Solution

The fourth proportional to 202,808.50, 279,864.68 and 112,159.18 is: 154,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808.50 : 279,864.68 = 112,159.18 : x
  2. Step 2: Convert to fraction form
    202,808.50/279,864.68 = 112,159.18/x
  3. Step 3: Cross multiply
    202,808.50x = 279,864.68 × 112,159.18
  4. Step 4: Simplify right side
    202,808.50x = 31,389,393,019.76
  5. Step 5: Solve for x
    x = 31,389,393,019.76/202,808.50
  6. Step 6: Final answer
    x = 154,773.56

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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.