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Finding the Fourth Proportional to 169,102.80, 253,665.13 and 56,778.48

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Solution

The fourth proportional to 169,102.80, 253,665.13 and 56,778.48 is: 85,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,102.80 : 253,665.13 = 56,778.48 : x
  2. Step 2: Convert to fraction form
    169,102.80/253,665.13 = 56,778.48/x
  3. Step 3: Cross multiply
    169,102.80x = 253,665.13 × 56,778.48
  4. Step 4: Simplify right side
    169,102.80x = 14,402,720,510.40
  5. Step 5: Solve for x
    x = 14,402,720,510.40/169,102.80
  6. Step 6: Final answer
    x = 85,171.39

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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.