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Finding the Fourth Proportional to 99,858.90, 137,806.22 and 56,836.27

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Solution

The fourth proportional to 99,858.90, 137,806.22 and 56,836.27 is: 78,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,858.90 : 137,806.22 = 56,836.27 : x
  2. Step 2: Convert to fraction form
    99,858.90/137,806.22 = 56,836.27/x
  3. Step 3: Cross multiply
    99,858.90x = 137,806.22 × 56,836.27
  4. Step 4: Simplify right side
    99,858.90x = 7,832,391,527.60
  5. Step 5: Solve for x
    x = 7,832,391,527.60/99,858.90
  6. Step 6: Final answer
    x = 78,434.59

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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.