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Finding the Fourth Proportional to 172,462.08, 258,692.80 and 47,803.20

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Solution

The fourth proportional to 172,462.08, 258,692.80 and 47,803.20 is: 71,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,462.08 : 258,692.80 = 47,803.20 : x
  2. Step 2: Convert to fraction form
    172,462.08/258,692.80 = 47,803.20/x
  3. Step 3: Cross multiply
    172,462.08x = 258,692.80 × 47,803.20
  4. Step 4: Simplify right side
    172,462.08x = 12,366,343,656.96
  5. Step 5: Solve for x
    x = 12,366,343,656.96/172,462.08
  6. Step 6: Final answer
    x = 71,704.71

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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.