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Finding the Fourth Proportional to 61,290, 91,957.14 and 30,147.12

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Solution

The fourth proportional to 61,290, 91,957.14 and 30,147.12 is: 45,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290 : 91,957.14 = 30,147.12 : x
  2. Step 2: Convert to fraction form
    61,290/91,957.14 = 30,147.12/x
  3. Step 3: Cross multiply
    61,290x = 91,957.14 × 30,147.12
  4. Step 4: Simplify right side
    61,290x = 2,772,242,934.44
  5. Step 5: Solve for x
    x = 2,772,242,934.44/61,290
  6. Step 6: Final answer
    x = 45,231.57

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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.