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Finding the Fourth Proportional to 172,111.60, 258,167.40 and 53,819.20

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Solution

The fourth proportional to 172,111.60, 258,167.40 and 53,819.20 is: 80,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,111.60 : 258,167.40 = 53,819.20 : x
  2. Step 2: Convert to fraction form
    172,111.60/258,167.40 = 53,819.20/x
  3. Step 3: Cross multiply
    172,111.60x = 258,167.40 × 53,819.20
  4. Step 4: Simplify right side
    172,111.60x = 13,894,362,934.08
  5. Step 5: Solve for x
    x = 13,894,362,934.08/172,111.60
  6. Step 6: Final answer
    x = 80,728.80

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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.