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Finding the Fourth Proportional to 61,208.81, 91,616.38 and 31,586.30

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Solution

The fourth proportional to 61,208.81, 91,616.38 and 31,586.30 is: 47,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,208.81 : 91,616.38 = 31,586.30 : x
  2. Step 2: Convert to fraction form
    61,208.81/91,616.38 = 31,586.30/x
  3. Step 3: Cross multiply
    61,208.81x = 91,616.38 × 31,586.30
  4. Step 4: Simplify right side
    61,208.81x = 2,893,821,926.55
  5. Step 5: Solve for x
    x = 2,893,821,926.55/61,208.81
  6. Step 6: Final answer
    x = 47,277.87

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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.