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Finding the Fourth Proportional to 70,872.33, 106,345.56 and 45,905.91

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Solution

The fourth proportional to 70,872.33, 106,345.56 and 45,905.91 is: 68,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.33 : 106,345.56 = 45,905.91 : x
  2. Step 2: Convert to fraction form
    70,872.33/106,345.56 = 45,905.91/x
  3. Step 3: Cross multiply
    70,872.33x = 106,345.56 × 45,905.91
  4. Step 4: Simplify right side
    70,872.33x = 4,881,889,706.26
  5. Step 5: Solve for x
    x = 4,881,889,706.26/70,872.33
  6. Step 6: Final answer
    x = 68,882.87

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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.