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Finding the Fourth Proportional to 169,170.98, 253,675.44 and 56,820

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Solution

The fourth proportional to 169,170.98, 253,675.44 and 56,820 is: 85,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,170.98 : 253,675.44 = 56,820 : x
  2. Step 2: Convert to fraction form
    169,170.98/253,675.44 = 56,820/x
  3. Step 3: Cross multiply
    169,170.98x = 253,675.44 × 56,820
  4. Step 4: Simplify right side
    169,170.98x = 14,413,838,500.80
  5. Step 5: Solve for x
    x = 14,413,838,500.80/169,170.98
  6. Step 6: Final answer
    x = 85,202.78

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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.