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Finding the Fourth Proportional to 122,319.84, 168,798.24 and 67,872

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Solution

The fourth proportional to 122,319.84, 168,798.24 and 67,872 is: 93,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,319.84 : 168,798.24 = 67,872 : x
  2. Step 2: Convert to fraction form
    122,319.84/168,798.24 = 67,872/x
  3. Step 3: Cross multiply
    122,319.84x = 168,798.24 × 67,872
  4. Step 4: Simplify right side
    122,319.84x = 11,456,674,145.28
  5. Step 5: Solve for x
    x = 11,456,674,145.28/122,319.84
  6. Step 6: Final answer
    x = 93,661.62

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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.