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Finding the Fourth Proportional to 103,678.68, 155,495.46 and 40,478.46

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Solution

The fourth proportional to 103,678.68, 155,495.46 and 40,478.46 is: 60,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.68 : 155,495.46 = 40,478.46 : x
  2. Step 2: Convert to fraction form
    103,678.68/155,495.46 = 40,478.46/x
  3. Step 3: Cross multiply
    103,678.68x = 155,495.46 × 40,478.46
  4. Step 4: Simplify right side
    103,678.68x = 6,294,216,757.79
  5. Step 5: Solve for x
    x = 6,294,216,757.79/103,678.68
  6. Step 6: Final answer
    x = 60,708.88

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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.