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Finding the Fourth Proportional to 72,774, 100,486.08 and 47,292.96

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Solution

The fourth proportional to 72,774, 100,486.08 and 47,292.96 is: 65,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774 : 100,486.08 = 47,292.96 : x
  2. Step 2: Convert to fraction form
    72,774/100,486.08 = 47,292.96/x
  3. Step 3: Cross multiply
    72,774x = 100,486.08 × 47,292.96
  4. Step 4: Simplify right side
    72,774x = 4,752,284,162.00
  5. Step 5: Solve for x
    x = 4,752,284,162.00/72,774
  6. Step 6: Final answer
    x = 65,301.95

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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.