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Finding the Fourth Proportional to 122,784.20, 169,440.49 and 69,069.20

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Solution

The fourth proportional to 122,784.20, 169,440.49 and 69,069.20 is: 95,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784.20 : 169,440.49 = 69,069.20 : x
  2. Step 2: Convert to fraction form
    122,784.20/169,440.49 = 69,069.20/x
  3. Step 3: Cross multiply
    122,784.20x = 169,440.49 × 69,069.20
  4. Step 4: Simplify right side
    122,784.20x = 11,703,119,091.91
  5. Step 5: Solve for x
    x = 11,703,119,091.91/122,784.20
  6. Step 6: Final answer
    x = 95,314.54

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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.