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Finding the Fourth Proportional to 68,929.22, 103,248.53 and 31,520.78

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Solution

The fourth proportional to 68,929.22, 103,248.53 and 31,520.78 is: 47,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,929.22 : 103,248.53 = 31,520.78 : x
  2. Step 2: Convert to fraction form
    68,929.22/103,248.53 = 31,520.78/x
  3. Step 3: Cross multiply
    68,929.22x = 103,248.53 × 31,520.78
  4. Step 4: Simplify right side
    68,929.22x = 3,254,474,030.99
  5. Step 5: Solve for x
    x = 3,254,474,030.99/68,929.22
  6. Step 6: Final answer
    x = 47,214.72

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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.