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Finding the Fourth Proportional to 86,930.95, 130,396.43 and 47,466.54

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Solution

The fourth proportional to 86,930.95, 130,396.43 and 47,466.54 is: 71,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,930.95 : 130,396.43 = 47,466.54 : x
  2. Step 2: Convert to fraction form
    86,930.95/130,396.43 = 47,466.54/x
  3. Step 3: Cross multiply
    86,930.95x = 130,396.43 × 47,466.54
  4. Step 4: Simplify right side
    86,930.95x = 6,189,466,471.14
  5. Step 5: Solve for x
    x = 6,189,466,471.14/86,930.95
  6. Step 6: Final answer
    x = 71,199.80

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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.