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Finding the Fourth Proportional to 103,382.66, 154,996.14 and 52,789.16

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Solution

The fourth proportional to 103,382.66, 154,996.14 and 52,789.16 is: 79,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,382.66 : 154,996.14 = 52,789.16 : x
  2. Step 2: Convert to fraction form
    103,382.66/154,996.14 = 52,789.16/x
  3. Step 3: Cross multiply
    103,382.66x = 154,996.14 × 52,789.16
  4. Step 4: Simplify right side
    103,382.66x = 8,182,116,033.84
  5. Step 5: Solve for x
    x = 8,182,116,033.84/103,382.66
  6. Step 6: Final answer
    x = 79,143.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.