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Finding the Fourth Proportional to 194,470, 291,705 and 63,142

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Solution

The fourth proportional to 194,470, 291,705 and 63,142 is: 94,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,470 : 291,705 = 63,142 : x
  2. Step 2: Convert to fraction form
    194,470/291,705 = 63,142/x
  3. Step 3: Cross multiply
    194,470x = 291,705 × 63,142
  4. Step 4: Simplify right side
    194,470x = 18,418,837,110
  5. Step 5: Solve for x
    x = 18,418,837,110/194,470
  6. Step 6: Final answer
    x = 94,713

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.