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Finding the Fourth Proportional to 191,462.09, 287,193.20 and 86,158.04

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Solution

The fourth proportional to 191,462.09, 287,193.20 and 86,158.04 is: 129,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,462.09 : 287,193.20 = 86,158.04 : x
  2. Step 2: Convert to fraction form
    191,462.09/287,193.20 = 86,158.04/x
  3. Step 3: Cross multiply
    191,462.09x = 287,193.20 × 86,158.04
  4. Step 4: Simplify right side
    191,462.09x = 24,744,001,346.57
  5. Step 5: Solve for x
    x = 24,744,001,346.57/191,462.09
  6. Step 6: Final answer
    x = 129,237.08

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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.