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Finding the Fourth Proportional to 70,251.50, 105,377.31 and 28,698.50

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Solution

The fourth proportional to 70,251.50, 105,377.31 and 28,698.50 is: 43,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,251.50 : 105,377.31 = 28,698.50 : x
  2. Step 2: Convert to fraction form
    70,251.50/105,377.31 = 28,698.50/x
  3. Step 3: Cross multiply
    70,251.50x = 105,377.31 × 28,698.50
  4. Step 4: Simplify right side
    70,251.50x = 3,024,170,731.04
  5. Step 5: Solve for x
    x = 3,024,170,731.04/70,251.50
  6. Step 6: Final answer
    x = 43,047.77

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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.