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Finding the Fourth Proportional to 42,168.70, 63,310.65 and 21,406.78

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Solution

The fourth proportional to 42,168.70, 63,310.65 and 21,406.78 is: 32,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,168.70 : 63,310.65 = 21,406.78 : x
  2. Step 2: Convert to fraction form
    42,168.70/63,310.65 = 21,406.78/x
  3. Step 3: Cross multiply
    42,168.70x = 63,310.65 × 21,406.78
  4. Step 4: Simplify right side
    42,168.70x = 1,355,277,156.21
  5. Step 5: Solve for x
    x = 1,355,277,156.21/42,168.70
  6. Step 6: Final answer
    x = 32,139.41

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1.5x scale

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.