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Finding the Fourth Proportional to 106,460.74, 159,358.96 and 78,412.47

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Solution

The fourth proportional to 106,460.74, 159,358.96 and 78,412.47 is: 117,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460.74 : 159,358.96 = 78,412.47 : x
  2. Step 2: Convert to fraction form
    106,460.74/159,358.96 = 78,412.47/x
  3. Step 3: Cross multiply
    106,460.74x = 159,358.96 × 78,412.47
  4. Step 4: Simplify right side
    106,460.74x = 12,495,729,170.65
  5. Step 5: Solve for x
    x = 12,495,729,170.65/106,460.74
  6. Step 6: Final answer
    x = 117,374.06

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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.