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Finding the Fourth Proportional to 129,967.95, 194,970.52 and 40,018.28

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Solution

The fourth proportional to 129,967.95, 194,970.52 and 40,018.28 is: 60,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,967.95 : 194,970.52 = 40,018.28 : x
  2. Step 2: Convert to fraction form
    129,967.95/194,970.52 = 40,018.28/x
  3. Step 3: Cross multiply
    129,967.95x = 194,970.52 × 40,018.28
  4. Step 4: Simplify right side
    129,967.95x = 7,802,384,861.11
  5. Step 5: Solve for x
    x = 7,802,384,861.11/129,967.95
  6. Step 6: Final answer
    x = 60,033.15

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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.