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Finding the Fourth Proportional to 84,842.88, 117,036 and 78,835.92

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Solution

The fourth proportional to 84,842.88, 117,036 and 78,835.92 is: 108,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842.88 : 117,036 = 78,835.92 : x
  2. Step 2: Convert to fraction form
    84,842.88/117,036 = 78,835.92/x
  3. Step 3: Cross multiply
    84,842.88x = 117,036 × 78,835.92
  4. Step 4: Simplify right side
    84,842.88x = 9,226,640,733.12
  5. Step 5: Solve for x
    x = 9,226,640,733.12/84,842.88
  6. Step 6: Final answer
    x = 108,749.74

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1.5x scale

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.