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Finding the Fourth Proportional to 77,442, 106,867.89 and 43,447.65

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Solution

The fourth proportional to 77,442, 106,867.89 and 43,447.65 is: 59,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442 : 106,867.89 = 43,447.65 : x
  2. Step 2: Convert to fraction form
    77,442/106,867.89 = 43,447.65/x
  3. Step 3: Cross multiply
    77,442x = 106,867.89 × 43,447.65
  4. Step 4: Simplify right side
    77,442x = 4,643,158,680.96
  5. Step 5: Solve for x
    x = 4,643,158,680.96/77,442
  6. Step 6: Final answer
    x = 59,956.60

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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.