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Finding the Fourth Proportional to 178,866, 246,836.04 and 99,378

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Solution

The fourth proportional to 178,866, 246,836.04 and 99,378 is: 137,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,866 : 246,836.04 = 99,378 : x
  2. Step 2: Convert to fraction form
    178,866/246,836.04 = 99,378/x
  3. Step 3: Cross multiply
    178,866x = 246,836.04 × 99,378
  4. Step 4: Simplify right side
    178,866x = 24,530,071,983.12
  5. Step 5: Solve for x
    x = 24,530,071,983.12/178,866
  6. Step 6: Final answer
    x = 137,142.17

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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.