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Finding the Fourth Proportional to 91,975.82, 137,888.48 and 47,615.24

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Solution

The fourth proportional to 91,975.82, 137,888.48 and 47,615.24 is: 71,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,975.82 : 137,888.48 = 47,615.24 : x
  2. Step 2: Convert to fraction form
    91,975.82/137,888.48 = 47,615.24/x
  3. Step 3: Cross multiply
    91,975.82x = 137,888.48 × 47,615.24
  4. Step 4: Simplify right side
    91,975.82x = 6,565,593,068.44
  5. Step 5: Solve for x
    x = 6,565,593,068.44/91,975.82
  6. Step 6: Final answer
    x = 71,383.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.