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Finding the Fourth Proportional to 95,146.65, 142,724.43 and 78,475.64

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Solution

The fourth proportional to 95,146.65, 142,724.43 and 78,475.64 is: 117,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,146.65 : 142,724.43 = 78,475.64 : x
  2. Step 2: Convert to fraction form
    95,146.65/142,724.43 = 78,475.64/x
  3. Step 3: Cross multiply
    95,146.65x = 142,724.43 × 78,475.64
  4. Step 4: Simplify right side
    95,146.65x = 11,200,390,274.26
  5. Step 5: Solve for x
    x = 11,200,390,274.26/95,146.65
  6. Step 6: Final answer
    x = 117,717.13

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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.