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Finding the Fourth Proportional to 140,805, 194,311.02 and 77,143.08

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Solution

The fourth proportional to 140,805, 194,311.02 and 77,143.08 is: 106,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,805 : 194,311.02 = 77,143.08 : x
  2. Step 2: Convert to fraction form
    140,805/194,311.02 = 77,143.08/x
  3. Step 3: Cross multiply
    140,805x = 194,311.02 × 77,143.08
  4. Step 4: Simplify right side
    140,805x = 14,989,750,560.74
  5. Step 5: Solve for x
    x = 14,989,750,560.74/140,805
  6. Step 6: Final answer
    x = 106,457.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.