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Finding the Fourth Proportional to 87,509.16, 120,759.90 and 49,270.86

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Solution

The fourth proportional to 87,509.16, 120,759.90 and 49,270.86 is: 67,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,509.16 : 120,759.90 = 49,270.86 : x
  2. Step 2: Convert to fraction form
    87,509.16/120,759.90 = 49,270.86/x
  3. Step 3: Cross multiply
    87,509.16x = 120,759.90 × 49,270.86
  4. Step 4: Simplify right side
    87,509.16x = 5,949,944,126.51
  5. Step 5: Solve for x
    x = 5,949,944,126.51/87,509.16
  6. Step 6: Final answer
    x = 67,992.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.