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Finding the Fourth Proportional to 140,956.16, 194,510 and 77,292.60

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Solution

The fourth proportional to 140,956.16, 194,510 and 77,292.60 is: 106,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,956.16 : 194,510 = 77,292.60 : x
  2. Step 2: Convert to fraction form
    140,956.16/194,510 = 77,292.60/x
  3. Step 3: Cross multiply
    140,956.16x = 194,510 × 77,292.60
  4. Step 4: Simplify right side
    140,956.16x = 15,034,183,626.00
  5. Step 5: Solve for x
    x = 15,034,183,626.00/140,956.16
  6. Step 6: Final answer
    x = 106,658.58

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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.