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Finding the Fourth Proportional to 162,503.76, 224,255.70 and 90,885

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Solution

The fourth proportional to 162,503.76, 224,255.70 and 90,885 is: 125,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,503.76 : 224,255.70 = 90,885 : x
  2. Step 2: Convert to fraction form
    162,503.76/224,255.70 = 90,885/x
  3. Step 3: Cross multiply
    162,503.76x = 224,255.70 × 90,885
  4. Step 4: Simplify right side
    162,503.76x = 20,381,479,294.50
  5. Step 5: Solve for x
    x = 20,381,479,294.50/162,503.76
  6. Step 6: Final answer
    x = 125,421.59

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1.5x scale

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.