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Finding the Fourth Proportional to 41,128.40, 61,678.20 and 21,400.40

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Solution

The fourth proportional to 41,128.40, 61,678.20 and 21,400.40 is: 32,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128.40 : 61,678.20 = 21,400.40 : x
  2. Step 2: Convert to fraction form
    41,128.40/61,678.20 = 21,400.40/x
  3. Step 3: Cross multiply
    41,128.40x = 61,678.20 × 21,400.40
  4. Step 4: Simplify right side
    41,128.40x = 1,319,938,151.28
  5. Step 5: Solve for x
    x = 1,319,938,151.28/41,128.40
  6. Step 6: Final answer
    x = 32,093.11

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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.