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Finding the Fourth Proportional to 101,502.72, 152,255.20 and 45,345.68

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Solution

The fourth proportional to 101,502.72, 152,255.20 and 45,345.68 is: 68,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502.72 : 152,255.20 = 45,345.68 : x
  2. Step 2: Convert to fraction form
    101,502.72/152,255.20 = 45,345.68/x
  3. Step 3: Cross multiply
    101,502.72x = 152,255.20 × 45,345.68
  4. Step 4: Simplify right side
    101,502.72x = 6,904,115,577.54
  5. Step 5: Solve for x
    x = 6,904,115,577.54/101,502.72
  6. Step 6: Final answer
    x = 68,019.02

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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.