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Finding the Fourth Proportional to 208,381.10, 312,110.85 and 83,657.90

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Solution

The fourth proportional to 208,381.10, 312,110.85 and 83,657.90 is: 125,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,381.10 : 312,110.85 = 83,657.90 : x
  2. Step 2: Convert to fraction form
    208,381.10/312,110.85 = 83,657.90/x
  3. Step 3: Cross multiply
    208,381.10x = 312,110.85 × 83,657.90
  4. Step 4: Simplify right side
    208,381.10x = 26,110,538,278.22
  5. Step 5: Solve for x
    x = 26,110,538,278.22/208,381.10
  6. Step 6: Final answer
    x = 125,301.85

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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.