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Finding the Fourth Proportional to 172,431, 258,646.23 and 54,111.42

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Solution

The fourth proportional to 172,431, 258,646.23 and 54,111.42 is: 81,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,431 : 258,646.23 = 54,111.42 : x
  2. Step 2: Convert to fraction form
    172,431/258,646.23 = 54,111.42/x
  3. Step 3: Cross multiply
    172,431x = 258,646.23 × 54,111.42
  4. Step 4: Simplify right side
    172,431x = 13,995,714,782.95
  5. Step 5: Solve for x
    x = 13,995,714,782.95/172,431
  6. Step 6: Final answer
    x = 81,167.05

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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.