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Finding the Fourth Proportional to 122,814, 169,483.32 and 69,822

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Solution

The fourth proportional to 122,814, 169,483.32 and 69,822 is: 96,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814 : 169,483.32 = 69,822 : x
  2. Step 2: Convert to fraction form
    122,814/169,483.32 = 69,822/x
  3. Step 3: Cross multiply
    122,814x = 169,483.32 × 69,822
  4. Step 4: Simplify right side
    122,814x = 11,833,664,369.04
  5. Step 5: Solve for x
    x = 11,833,664,369.04/122,814
  6. Step 6: Final answer
    x = 96,354.36

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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.