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Finding the Fourth Proportional to 51,065.87, 70,470.90 and 28,709.87

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Solution

The fourth proportional to 51,065.87, 70,470.90 and 28,709.87 is: 39,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,065.87 : 70,470.90 = 28,709.87 : x
  2. Step 2: Convert to fraction form
    51,065.87/70,470.90 = 28,709.87/x
  3. Step 3: Cross multiply
    51,065.87x = 70,470.90 × 28,709.87
  4. Step 4: Simplify right side
    51,065.87x = 2,023,210,306.01
  5. Step 5: Solve for x
    x = 2,023,210,306.01/51,065.87
  6. Step 6: Final answer
    x = 39,619.62

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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.