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Finding the Fourth Proportional to 138,313.84, 190,891.29 and 77,896.30

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Solution

The fourth proportional to 138,313.84, 190,891.29 and 77,896.30 is: 107,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,313.84 : 190,891.29 = 77,896.30 : x
  2. Step 2: Convert to fraction form
    138,313.84/190,891.29 = 77,896.30/x
  3. Step 3: Cross multiply
    138,313.84x = 190,891.29 × 77,896.30
  4. Step 4: Simplify right side
    138,313.84x = 14,869,723,849.29
  5. Step 5: Solve for x
    x = 14,869,723,849.29/138,313.84
  6. Step 6: Final answer
    x = 107,507.13

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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.