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Finding the Fourth Proportional to 172,343.60, 258,709.80 and 133,074.80

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Solution

The fourth proportional to 172,343.60, 258,709.80 and 133,074.80 is: 199,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,343.60 : 258,709.80 = 133,074.80 : x
  2. Step 2: Convert to fraction form
    172,343.60/258,709.80 = 133,074.80/x
  3. Step 3: Cross multiply
    172,343.60x = 258,709.80 × 133,074.80
  4. Step 4: Simplify right side
    172,343.60x = 34,427,754,893.04
  5. Step 5: Solve for x
    x = 34,427,754,893.04/172,343.60
  6. Step 6: Final answer
    x = 199,762.31

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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.