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Finding the Fourth Proportional to 172,394.42, 258,408.57 and 83,526.08

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Solution

The fourth proportional to 172,394.42, 258,408.57 and 83,526.08 is: 125,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,394.42 : 258,408.57 = 83,526.08 : x
  2. Step 2: Convert to fraction form
    172,394.42/258,408.57 = 83,526.08/x
  3. Step 3: Cross multiply
    172,394.42x = 258,408.57 × 83,526.08
  4. Step 4: Simplify right side
    172,394.42x = 21,583,854,890.51
  5. Step 5: Solve for x
    x = 21,583,854,890.51/172,394.42
  6. Step 6: Final answer
    x = 125,200.43

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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.