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Finding the Fourth Proportional to 68,677.57, 103,017.72 and 45,135.20

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Solution

The fourth proportional to 68,677.57, 103,017.72 and 45,135.20 is: 67,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,677.57 : 103,017.72 = 45,135.20 : x
  2. Step 2: Convert to fraction form
    68,677.57/103,017.72 = 45,135.20/x
  3. Step 3: Cross multiply
    68,677.57x = 103,017.72 × 45,135.20
  4. Step 4: Simplify right side
    68,677.57x = 4,649,725,532.81
  5. Step 5: Solve for x
    x = 4,649,725,532.81/68,677.57
  6. Step 6: Final answer
    x = 67,703.70

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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.