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Finding the Fourth Proportional to 148,978.20, 223,467.30 and 89,929.20

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Solution

The fourth proportional to 148,978.20, 223,467.30 and 89,929.20 is: 134,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978.20 : 223,467.30 = 89,929.20 : x
  2. Step 2: Convert to fraction form
    148,978.20/223,467.30 = 89,929.20/x
  3. Step 3: Cross multiply
    148,978.20x = 223,467.30 × 89,929.20
  4. Step 4: Simplify right side
    148,978.20x = 20,096,235,515.16
  5. Step 5: Solve for x
    x = 20,096,235,515.16/148,978.20
  6. Step 6: Final answer
    x = 134,893.80

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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.