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Finding the Fourth Proportional to 208,820.16, 313,282.08 and 84,248.64

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Solution

The fourth proportional to 208,820.16, 313,282.08 and 84,248.64 is: 126,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,820.16 : 313,282.08 = 84,248.64 : x
  2. Step 2: Convert to fraction form
    208,820.16/313,282.08 = 84,248.64/x
  3. Step 3: Cross multiply
    208,820.16x = 313,282.08 × 84,248.64
  4. Step 4: Simplify right side
    208,820.16x = 26,393,589,176.37
  5. Step 5: Solve for x
    x = 26,393,589,176.37/208,820.16
  6. Step 6: Final answer
    x = 126,393.87

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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.