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Finding the Fourth Proportional to 172,307.86, 258,474.12 and 45,947.44

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Solution

The fourth proportional to 172,307.86, 258,474.12 and 45,947.44 is: 68,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,307.86 : 258,474.12 = 45,947.44 : x
  2. Step 2: Convert to fraction form
    172,307.86/258,474.12 = 45,947.44/x
  3. Step 3: Cross multiply
    172,307.86x = 258,474.12 × 45,947.44
  4. Step 4: Simplify right side
    172,307.86x = 11,876,223,474.07
  5. Step 5: Solve for x
    x = 11,876,223,474.07/172,307.86
  6. Step 6: Final answer
    x = 68,924.45

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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.