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Finding the Fourth Proportional to 102,809.60, 154,252.80 and 40,523.52

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Solution

The fourth proportional to 102,809.60, 154,252.80 and 40,523.52 is: 60,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.60 : 154,252.80 = 40,523.52 : x
  2. Step 2: Convert to fraction form
    102,809.60/154,252.80 = 40,523.52/x
  3. Step 3: Cross multiply
    102,809.60x = 154,252.80 × 40,523.52
  4. Step 4: Simplify right side
    102,809.60x = 6,250,866,425.86
  5. Step 5: Solve for x
    x = 6,250,866,425.86/102,809.60
  6. Step 6: Final answer
    x = 60,800.42

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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.