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Finding the Fourth Proportional to 191,140, 286,744.59 and 78,757.72

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Solution

The fourth proportional to 191,140, 286,744.59 and 78,757.72 is: 118,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,140 : 286,744.59 = 78,757.72 : x
  2. Step 2: Convert to fraction form
    191,140/286,744.59 = 78,757.72/x
  3. Step 3: Cross multiply
    191,140x = 286,744.59 × 78,757.72
  4. Step 4: Simplify right side
    191,140x = 22,583,350,130.73
  5. Step 5: Solve for x
    x = 22,583,350,130.73/191,140
  6. Step 6: Final answer
    x = 118,150.83

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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.