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Finding the Fourth Proportional to 140,643.84, 194,088.50 and 76,981.64

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Solution

The fourth proportional to 140,643.84, 194,088.50 and 76,981.64 is: 106,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,643.84 : 194,088.50 = 76,981.64 : x
  2. Step 2: Convert to fraction form
    140,643.84/194,088.50 = 76,981.64/x
  3. Step 3: Cross multiply
    140,643.84x = 194,088.50 × 76,981.64
  4. Step 4: Simplify right side
    140,643.84x = 14,941,251,493.24
  5. Step 5: Solve for x
    x = 14,941,251,493.24/140,643.84
  6. Step 6: Final answer
    x = 106,234.66

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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.