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Finding the Fourth Proportional to 162,911.43, 224,823.84 and 91,288.80

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Solution

The fourth proportional to 162,911.43, 224,823.84 and 91,288.80 is: 125,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,911.43 : 224,823.84 = 91,288.80 : x
  2. Step 2: Convert to fraction form
    162,911.43/224,823.84 = 91,288.80/x
  3. Step 3: Cross multiply
    162,911.43x = 224,823.84 × 91,288.80
  4. Step 4: Simplify right side
    162,911.43x = 20,523,898,564.99
  5. Step 5: Solve for x
    x = 20,523,898,564.99/162,911.43
  6. Step 6: Final answer
    x = 125,981.94

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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.