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Finding the Fourth Proportional to 172,111.39, 258,078 and 77,259.90

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Solution

The fourth proportional to 172,111.39, 258,078 and 77,259.90 is: 115,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,111.39 : 258,078 = 77,259.90 : x
  2. Step 2: Convert to fraction form
    172,111.39/258,078 = 77,259.90/x
  3. Step 3: Cross multiply
    172,111.39x = 258,078 × 77,259.90
  4. Step 4: Simplify right side
    172,111.39x = 19,939,080,472.20
  5. Step 5: Solve for x
    x = 19,939,080,472.20/172,111.39
  6. Step 6: Final answer
    x = 115,849.86

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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.