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Finding the Fourth Proportional to 122,302.54, 168,705.84 and 76,908.52

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Solution

The fourth proportional to 122,302.54, 168,705.84 and 76,908.52 is: 106,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,302.54 : 168,705.84 = 76,908.52 : x
  2. Step 2: Convert to fraction form
    122,302.54/168,705.84 = 76,908.52/x
  3. Step 3: Cross multiply
    122,302.54x = 168,705.84 × 76,908.52
  4. Step 4: Simplify right side
    122,302.54x = 12,974,916,469.76
  5. Step 5: Solve for x
    x = 12,974,916,469.76/122,302.54
  6. Step 6: Final answer
    x = 106,088.69

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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.