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Finding the Fourth Proportional to 99,955.84, 137,897.78 and 69,758.68

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Solution

The fourth proportional to 99,955.84, 137,897.78 and 69,758.68 is: 96,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,955.84 : 137,897.78 = 69,758.68 : x
  2. Step 2: Convert to fraction form
    99,955.84/137,897.78 = 69,758.68/x
  3. Step 3: Cross multiply
    99,955.84x = 137,897.78 × 69,758.68
  4. Step 4: Simplify right side
    99,955.84x = 9,619,567,107.73
  5. Step 5: Solve for x
    x = 9,619,567,107.73/99,955.84
  6. Step 6: Final answer
    x = 96,238.17

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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.