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Finding the Fourth Proportional to 144,957.70, 200,043.08 and 81,294.13

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Solution

The fourth proportional to 144,957.70, 200,043.08 and 81,294.13 is: 112,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,957.70 : 200,043.08 = 81,294.13 : x
  2. Step 2: Convert to fraction form
    144,957.70/200,043.08 = 81,294.13/x
  3. Step 3: Cross multiply
    144,957.70x = 200,043.08 × 81,294.13
  4. Step 4: Simplify right side
    144,957.70x = 16,262,327,744.65
  5. Step 5: Solve for x
    x = 16,262,327,744.65/144,957.70
  6. Step 6: Final answer
    x = 112,186.71

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1.5x scale

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.