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Finding the Fourth Proportional to 191,139.90, 286,744.40 and 78,757.58

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Solution

The fourth proportional to 191,139.90, 286,744.40 and 78,757.58 is: 118,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,139.90 : 286,744.40 = 78,757.58 : x
  2. Step 2: Convert to fraction form
    191,139.90/286,744.40 = 78,757.58/x
  3. Step 3: Cross multiply
    191,139.90x = 286,744.40 × 78,757.58
  4. Step 4: Simplify right side
    191,139.90x = 22,583,295,022.55
  5. Step 5: Solve for x
    x = 22,583,295,022.55/191,139.90
  6. Step 6: Final answer
    x = 118,150.61

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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.