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Finding the Fourth Proportional to 91,683.86, 126,531 and 53,965.40

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Solution

The fourth proportional to 91,683.86, 126,531 and 53,965.40 is: 74,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,683.86 : 126,531 = 53,965.40 : x
  2. Step 2: Convert to fraction form
    91,683.86/126,531 = 53,965.40/x
  3. Step 3: Cross multiply
    91,683.86x = 126,531 × 53,965.40
  4. Step 4: Simplify right side
    91,683.86x = 6,828,295,394.75
  5. Step 5: Solve for x
    x = 6,828,295,394.75/91,683.86
  6. Step 6: Final answer
    x = 74,476.53

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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.