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Finding the Fourth Proportional to 102,086, 153,160.06 and 52,201.12

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Solution

The fourth proportional to 102,086, 153,160.06 and 52,201.12 is: 78,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,086 : 153,160.06 = 52,201.12 : x
  2. Step 2: Convert to fraction form
    102,086/153,160.06 = 52,201.12/x
  3. Step 3: Cross multiply
    102,086x = 153,160.06 × 52,201.12
  4. Step 4: Simplify right side
    102,086x = 7,995,126,671.27
  5. Step 5: Solve for x
    x = 7,995,126,671.27/102,086
  6. Step 6: Final answer
    x = 78,317.56

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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.