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Finding the Fourth Proportional to 76,538.92, 114,820.28 and 39,078.68

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Solution

The fourth proportional to 76,538.92, 114,820.28 and 39,078.68 is: 58,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.92 : 114,820.28 = 39,078.68 : x
  2. Step 2: Convert to fraction form
    76,538.92/114,820.28 = 39,078.68/x
  3. Step 3: Cross multiply
    76,538.92x = 114,820.28 × 39,078.68
  4. Step 4: Simplify right side
    76,538.92x = 4,487,024,979.63
  5. Step 5: Solve for x
    x = 4,487,024,979.63/76,538.92
  6. Step 6: Final answer
    x = 58,624.10

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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.