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Finding the Fourth Proportional to 140,643.57, 194,089.95 and 76,980

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Solution

The fourth proportional to 140,643.57, 194,089.95 and 76,980 is: 106,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,643.57 : 194,089.95 = 76,980 : x
  2. Step 2: Convert to fraction form
    140,643.57/194,089.95 = 76,980/x
  3. Step 3: Cross multiply
    140,643.57x = 194,089.95 × 76,980
  4. Step 4: Simplify right side
    140,643.57x = 14,941,044,351
  5. Step 5: Solve for x
    x = 14,941,044,351/140,643.57
  6. Step 6: Final answer
    x = 106,233.40

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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.