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Finding the Fourth Proportional to 152,857.80, 229,286.70 and 42,049.80

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Solution

The fourth proportional to 152,857.80, 229,286.70 and 42,049.80 is: 63,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,857.80 : 229,286.70 = 42,049.80 : x
  2. Step 2: Convert to fraction form
    152,857.80/229,286.70 = 42,049.80/x
  3. Step 3: Cross multiply
    152,857.80x = 229,286.70 × 42,049.80
  4. Step 4: Simplify right side
    152,857.80x = 9,641,459,877.66
  5. Step 5: Solve for x
    x = 9,641,459,877.66/152,857.80
  6. Step 6: Final answer
    x = 63,074.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.