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Finding the Fourth Proportional to 149,761.80, 224,351.10 and 90,421.20

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Solution

The fourth proportional to 149,761.80, 224,351.10 and 90,421.20 is: 135,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,761.80 : 224,351.10 = 90,421.20 : x
  2. Step 2: Convert to fraction form
    149,761.80/224,351.10 = 90,421.20/x
  3. Step 3: Cross multiply
    149,761.80x = 224,351.10 × 90,421.20
  4. Step 4: Simplify right side
    149,761.80x = 20,286,095,683.32
  5. Step 5: Solve for x
    x = 20,286,095,683.32/149,761.80
  6. Step 6: Final answer
    x = 135,455.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.