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Finding the Fourth Proportional to 208,381.74, 312,230.88 and 88,342.77

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Solution

The fourth proportional to 208,381.74, 312,230.88 and 88,342.77 is: 132,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,381.74 : 312,230.88 = 88,342.77 : x
  2. Step 2: Convert to fraction form
    208,381.74/312,230.88 = 88,342.77/x
  3. Step 3: Cross multiply
    208,381.74x = 312,230.88 × 88,342.77
  4. Step 4: Simplify right side
    208,381.74x = 27,583,340,818.74
  5. Step 5: Solve for x
    x = 27,583,340,818.74/208,381.74
  6. Step 6: Final answer
    x = 132,369.28

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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.