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Finding the Fourth Proportional to 70,507.26, 105,619.89 and 42,411.78

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Solution

The fourth proportional to 70,507.26, 105,619.89 and 42,411.78 is: 63,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.26 : 105,619.89 = 42,411.78 : x
  2. Step 2: Convert to fraction form
    70,507.26/105,619.89 = 42,411.78/x
  3. Step 3: Cross multiply
    70,507.26x = 105,619.89 × 42,411.78
  4. Step 4: Simplify right side
    70,507.26x = 4,479,527,538.30
  5. Step 5: Solve for x
    x = 4,479,527,538.30/70,507.26
  6. Step 6: Final answer
    x = 63,532.86

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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.