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Finding the Fourth Proportional to 172,108.01, 258,073.29 and 77,256.87

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Solution

The fourth proportional to 172,108.01, 258,073.29 and 77,256.87 is: 115,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,108.01 : 258,073.29 = 77,256.87 : x
  2. Step 2: Convert to fraction form
    172,108.01/258,073.29 = 77,256.87/x
  3. Step 3: Cross multiply
    172,108.01x = 258,073.29 × 77,256.87
  4. Step 4: Simplify right side
    172,108.01x = 19,937,934,616.00
  5. Step 5: Solve for x
    x = 19,937,934,616.00/172,108.01
  6. Step 6: Final answer
    x = 115,845.48

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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.