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Finding the Fourth Proportional to 103,640, 155,464.05 and 32,611.10

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Solution

The fourth proportional to 103,640, 155,464.05 and 32,611.10 is: 48,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 155,464.05 = 32,611.10 : x
  2. Step 2: Convert to fraction form
    103,640/155,464.05 = 32,611.10/x
  3. Step 3: Cross multiply
    103,640x = 155,464.05 × 32,611.10
  4. Step 4: Simplify right side
    103,640x = 5,069,853,680.96
  5. Step 5: Solve for x
    x = 5,069,853,680.96/103,640
  6. Step 6: Final answer
    x = 48,917.92

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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.