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Finding the Fourth Proportional to 162,318.96, 224,001.27 and 90,702

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Solution

The fourth proportional to 162,318.96, 224,001.27 and 90,702 is: 125,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,318.96 : 224,001.27 = 90,702 : x
  2. Step 2: Convert to fraction form
    162,318.96/224,001.27 = 90,702/x
  3. Step 3: Cross multiply
    162,318.96x = 224,001.27 × 90,702
  4. Step 4: Simplify right side
    162,318.96x = 20,317,363,191.54
  5. Step 5: Solve for x
    x = 20,317,363,191.54/162,318.96
  6. Step 6: Final answer
    x = 125,169.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.