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Finding the Fourth Proportional to 140,995.43, 194,572.35 and 77,333.48

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Solution

The fourth proportional to 140,995.43, 194,572.35 and 77,333.48 is: 106,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,995.43 : 194,572.35 = 77,333.48 : x
  2. Step 2: Convert to fraction form
    140,995.43/194,572.35 = 77,333.48/x
  3. Step 3: Cross multiply
    140,995.43x = 194,572.35 × 77,333.48
  4. Step 4: Simplify right side
    140,995.43x = 15,046,955,964.42
  5. Step 5: Solve for x
    x = 15,046,955,964.42/140,995.43
  6. Step 6: Final answer
    x = 106,719.46

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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.