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Finding the Fourth Proportional to 122,817, 169,487.46 and 69,825

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Solution

The fourth proportional to 122,817, 169,487.46 and 69,825 is: 96,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,817 : 169,487.46 = 69,825 : x
  2. Step 2: Convert to fraction form
    122,817/169,487.46 = 69,825/x
  3. Step 3: Cross multiply
    122,817x = 169,487.46 × 69,825
  4. Step 4: Simplify right side
    122,817x = 11,834,461,894.50
  5. Step 5: Solve for x
    x = 11,834,461,894.50/122,817
  6. Step 6: Final answer
    x = 96,358.50

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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.