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Finding the Fourth Proportional to 162,389.86, 224,098.27 and 90,769.82

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Solution

The fourth proportional to 162,389.86, 224,098.27 and 90,769.82 is: 125,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389.86 : 224,098.27 = 90,769.82 : x
  2. Step 2: Convert to fraction form
    162,389.86/224,098.27 = 90,769.82/x
  3. Step 3: Cross multiply
    162,389.86x = 224,098.27 × 90,769.82
  4. Step 4: Simplify right side
    162,389.86x = 20,341,358,282.80
  5. Step 5: Solve for x
    x = 20,341,358,282.80/162,389.86
  6. Step 6: Final answer
    x = 125,262.49

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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.