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Finding the Fourth Proportional to 129,647.50, 194,471.25 and 42,095.50

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Solution

The fourth proportional to 129,647.50, 194,471.25 and 42,095.50 is: 63,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,647.50 : 194,471.25 = 42,095.50 : x
  2. Step 2: Convert to fraction form
    129,647.50/194,471.25 = 42,095.50/x
  3. Step 3: Cross multiply
    129,647.50x = 194,471.25 × 42,095.50
  4. Step 4: Simplify right side
    129,647.50x = 8,186,364,504.38
  5. Step 5: Solve for x
    x = 8,186,364,504.38/129,647.50
  6. Step 6: Final answer
    x = 63,143.25

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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.