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Finding the Fourth Proportional to 122,559.84, 169,106.34 and 71,549.40

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Solution

The fourth proportional to 122,559.84, 169,106.34 and 71,549.40 is: 98,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,559.84 : 169,106.34 = 71,549.40 : x
  2. Step 2: Convert to fraction form
    122,559.84/169,106.34 = 71,549.40/x
  3. Step 3: Cross multiply
    122,559.84x = 169,106.34 × 71,549.40
  4. Step 4: Simplify right side
    122,559.84x = 12,099,457,163.20
  5. Step 5: Solve for x
    x = 12,099,457,163.20/122,559.84
  6. Step 6: Final answer
    x = 98,722.85

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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.