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Finding the Fourth Proportional to 90,774, 125,268.12 and 51,030

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Solution

The fourth proportional to 90,774, 125,268.12 and 51,030 is: 70,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 125,268.12 = 51,030 : x
  2. Step 2: Convert to fraction form
    90,774/125,268.12 = 51,030/x
  3. Step 3: Cross multiply
    90,774x = 125,268.12 × 51,030
  4. Step 4: Simplify right side
    90,774x = 6,392,432,163.60
  5. Step 5: Solve for x
    x = 6,392,432,163.60/90,774
  6. Step 6: Final answer
    x = 70,421.40

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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.