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Finding the Fourth Proportional to 102,656.40, 154,000.80 and 32,542.80

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Solution

The fourth proportional to 102,656.40, 154,000.80 and 32,542.80 is: 48,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.40 : 154,000.80 = 32,542.80 : x
  2. Step 2: Convert to fraction form
    102,656.40/154,000.80 = 32,542.80/x
  3. Step 3: Cross multiply
    102,656.40x = 154,000.80 × 32,542.80
  4. Step 4: Simplify right side
    102,656.40x = 5,011,617,234.24
  5. Step 5: Solve for x
    x = 5,011,617,234.24/102,656.40
  6. Step 6: Final answer
    x = 48,819.34

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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.