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Finding the Fourth Proportional to 65,814.54, 90,826.15 and 36,006.54

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Solution

The fourth proportional to 65,814.54, 90,826.15 and 36,006.54 is: 49,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814.54 : 90,826.15 = 36,006.54 : x
  2. Step 2: Convert to fraction form
    65,814.54/90,826.15 = 36,006.54/x
  3. Step 3: Cross multiply
    65,814.54x = 90,826.15 × 36,006.54
  4. Step 4: Simplify right side
    65,814.54x = 3,270,335,403.02
  5. Step 5: Solve for x
    x = 3,270,335,403.02/65,814.54
  6. Step 6: Final answer
    x = 49,690.17

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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.