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Finding the Fourth Proportional to 122,974.88, 169,705.66 and 71,302.01

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Solution

The fourth proportional to 122,974.88, 169,705.66 and 71,302.01 is: 98,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,974.88 : 169,705.66 = 71,302.01 : x
  2. Step 2: Convert to fraction form
    122,974.88/169,705.66 = 71,302.01/x
  3. Step 3: Cross multiply
    122,974.88x = 169,705.66 × 71,302.01
  4. Step 4: Simplify right side
    122,974.88x = 12,100,353,817.85
  5. Step 5: Solve for x
    x = 12,100,353,817.85/122,974.88
  6. Step 6: Final answer
    x = 98,396.96

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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.