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Finding the Fourth Proportional to 61,378.24, 84,719.64 and 36,235.84

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Solution

The fourth proportional to 61,378.24, 84,719.64 and 36,235.84 is: 50,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378.24 : 84,719.64 = 36,235.84 : x
  2. Step 2: Convert to fraction form
    61,378.24/84,719.64 = 36,235.84/x
  3. Step 3: Cross multiply
    61,378.24x = 84,719.64 × 36,235.84
  4. Step 4: Simplify right side
    61,378.24x = 3,069,887,319.90
  5. Step 5: Solve for x
    x = 3,069,887,319.90/61,378.24
  6. Step 6: Final answer
    x = 50,015.89

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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.