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Finding the Fourth Proportional to 140,980, 194,534.64 and 77,301.04

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Solution

The fourth proportional to 140,980, 194,534.64 and 77,301.04 is: 106,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,980 : 194,534.64 = 77,301.04 : x
  2. Step 2: Convert to fraction form
    140,980/194,534.64 = 77,301.04/x
  3. Step 3: Cross multiply
    140,980x = 194,534.64 × 77,301.04
  4. Step 4: Simplify right side
    140,980x = 15,037,729,988.03
  5. Step 5: Solve for x
    x = 15,037,729,988.03/140,980
  6. Step 6: Final answer
    x = 106,665.70

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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.