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Finding the Fourth Proportional to 129,642, 194,463 and 42,090

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Solution

The fourth proportional to 129,642, 194,463 and 42,090 is: 63,135

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642 : 194,463 = 42,090 : x
  2. Step 2: Convert to fraction form
    129,642/194,463 = 42,090/x
  3. Step 3: Cross multiply
    129,642x = 194,463 × 42,090
  4. Step 4: Simplify right side
    129,642x = 8,184,947,670
  5. Step 5: Solve for x
    x = 8,184,947,670/129,642
  6. Step 6: Final answer
    x = 63,135

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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.