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Finding the Fourth Proportional to 85,826, 128,739.18 and 36,578

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Solution

The fourth proportional to 85,826, 128,739.18 and 36,578 is: 54,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,826 : 128,739.18 = 36,578 : x
  2. Step 2: Convert to fraction form
    85,826/128,739.18 = 36,578/x
  3. Step 3: Cross multiply
    85,826x = 128,739.18 × 36,578
  4. Step 4: Simplify right side
    85,826x = 4,709,021,726.04
  5. Step 5: Solve for x
    x = 4,709,021,726.04/85,826
  6. Step 6: Final answer
    x = 54,867.08

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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.