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Finding the Fourth Proportional to 91,698, 126,545.16 and 51,954

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Solution

The fourth proportional to 91,698, 126,545.16 and 51,954 is: 71,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,698 : 126,545.16 = 51,954 : x
  2. Step 2: Convert to fraction form
    91,698/126,545.16 = 51,954/x
  3. Step 3: Cross multiply
    91,698x = 126,545.16 × 51,954
  4. Step 4: Simplify right side
    91,698x = 6,574,527,242.64
  5. Step 5: Solve for x
    x = 6,574,527,242.64/91,698
  6. Step 6: Final answer
    x = 71,697.61

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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.