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Finding the Fourth Proportional to 140,991.84, 194,569.02 and 77,330.16

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Solution

The fourth proportional to 140,991.84, 194,569.02 and 77,330.16 is: 106,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,991.84 : 194,569.02 = 77,330.16 : x
  2. Step 2: Convert to fraction form
    140,991.84/194,569.02 = 77,330.16/x
  3. Step 3: Cross multiply
    140,991.84x = 194,569.02 × 77,330.16
  4. Step 4: Simplify right side
    140,991.84x = 15,046,053,447.64
  5. Step 5: Solve for x
    x = 15,046,053,447.64/140,991.84
  6. Step 6: Final answer
    x = 106,715.77

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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.