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Finding the Fourth Proportional to 140,962.65, 194,528.48 and 77,301.78

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Solution

The fourth proportional to 140,962.65, 194,528.48 and 77,301.78 is: 106,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,962.65 : 194,528.48 = 77,301.78 : x
  2. Step 2: Convert to fraction form
    140,962.65/194,528.48 = 77,301.78/x
  3. Step 3: Cross multiply
    140,962.65x = 194,528.48 × 77,301.78
  4. Step 4: Simplify right side
    140,962.65x = 15,037,397,378.19
  5. Step 5: Solve for x
    x = 15,037,397,378.19/140,962.65
  6. Step 6: Final answer
    x = 106,676.47

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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.