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Finding the Fourth Proportional to 103,955.86, 155,979.87 and 38,276.50

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Solution

The fourth proportional to 103,955.86, 155,979.87 and 38,276.50 is: 57,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,955.86 : 155,979.87 = 38,276.50 : x
  2. Step 2: Convert to fraction form
    103,955.86/155,979.87 = 38,276.50/x
  3. Step 3: Cross multiply
    103,955.86x = 155,979.87 × 38,276.50
  4. Step 4: Simplify right side
    103,955.86x = 5,970,363,494.06
  5. Step 5: Solve for x
    x = 5,970,363,494.06/103,955.86
  6. Step 6: Final answer
    x = 57,431.72

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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.