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Finding the Fourth Proportional to 155,924, 215,175.12 and 85,268

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Solution

The fourth proportional to 155,924, 215,175.12 and 85,268 is: 117,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,924 : 215,175.12 = 85,268 : x
  2. Step 2: Convert to fraction form
    155,924/215,175.12 = 85,268/x
  3. Step 3: Cross multiply
    155,924x = 215,175.12 × 85,268
  4. Step 4: Simplify right side
    155,924x = 18,347,552,132.16
  5. Step 5: Solve for x
    x = 18,347,552,132.16/155,924
  6. Step 6: Final answer
    x = 117,669.84

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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.