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Finding the Fourth Proportional to 185,711.94, 278,566.29 and 45,470.70

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Solution

The fourth proportional to 185,711.94, 278,566.29 and 45,470.70 is: 68,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,711.94 : 278,566.29 = 45,470.70 : x
  2. Step 2: Convert to fraction form
    185,711.94/278,566.29 = 45,470.70/x
  3. Step 3: Cross multiply
    185,711.94x = 278,566.29 × 45,470.70
  4. Step 4: Simplify right side
    185,711.94x = 12,666,604,202.70
  5. Step 5: Solve for x
    x = 12,666,604,202.70/185,711.94
  6. Step 6: Final answer
    x = 68,205.65

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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.