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Finding the Fourth Proportional to 91,599, 126,406.62 and 51,855

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Solution

The fourth proportional to 91,599, 126,406.62 and 51,855 is: 71,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,599 : 126,406.62 = 51,855 : x
  2. Step 2: Convert to fraction form
    91,599/126,406.62 = 51,855/x
  3. Step 3: Cross multiply
    91,599x = 126,406.62 × 51,855
  4. Step 4: Simplify right side
    91,599x = 6,554,815,280.10
  5. Step 5: Solve for x
    x = 6,554,815,280.10/91,599
  6. Step 6: Final answer
    x = 71,559.90

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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.