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Finding the Fourth Proportional to 103,956.36, 155,980.62 and 38,277

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Solution

The fourth proportional to 103,956.36, 155,980.62 and 38,277 is: 57,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.36 : 155,980.62 = 38,277 : x
  2. Step 2: Convert to fraction form
    103,956.36/155,980.62 = 38,277/x
  3. Step 3: Cross multiply
    103,956.36x = 155,980.62 × 38,277
  4. Step 4: Simplify right side
    103,956.36x = 5,970,470,191.74
  5. Step 5: Solve for x
    x = 5,970,470,191.74/103,956.36
  6. Step 6: Final answer
    x = 57,432.47

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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.