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Finding the Fourth Proportional to 95,077.81, 142,621.32 and 78,407.40

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Solution

The fourth proportional to 95,077.81, 142,621.32 and 78,407.40 is: 117,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,077.81 : 142,621.32 = 78,407.40 : x
  2. Step 2: Convert to fraction form
    95,077.81/142,621.32 = 78,407.40/x
  3. Step 3: Cross multiply
    95,077.81x = 142,621.32 × 78,407.40
  4. Step 4: Simplify right side
    95,077.81x = 11,182,566,885.77
  5. Step 5: Solve for x
    x = 11,182,566,885.77/95,077.81
  6. Step 6: Final answer
    x = 117,614.90

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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.