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Finding the Fourth Proportional to 99,806.64, 137,418.84 and 84,667.92

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Solution

The fourth proportional to 99,806.64, 137,418.84 and 84,667.92 is: 116,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.64 : 137,418.84 = 84,667.92 : x
  2. Step 2: Convert to fraction form
    99,806.64/137,418.84 = 84,667.92/x
  3. Step 3: Cross multiply
    99,806.64x = 137,418.84 × 84,667.92
  4. Step 4: Simplify right side
    99,806.64x = 11,634,967,351.61
  5. Step 5: Solve for x
    x = 11,634,967,351.61/99,806.64
  6. Step 6: Final answer
    x = 116,575.08

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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.