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Finding the Fourth Proportional to 162,515.76, 224,272.28 and 90,897

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Solution

The fourth proportional to 162,515.76, 224,272.28 and 90,897 is: 125,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,515.76 : 224,272.28 = 90,897 : x
  2. Step 2: Convert to fraction form
    162,515.76/224,272.28 = 90,897/x
  3. Step 3: Cross multiply
    162,515.76x = 224,272.28 × 90,897
  4. Step 4: Simplify right side
    162,515.76x = 20,385,677,435.16
  5. Step 5: Solve for x
    x = 20,385,677,435.16/162,515.76
  6. Step 6: Final answer
    x = 125,438.16

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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.