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Finding the Fourth Proportional to 215,734.16, 323,571 and 91,046

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Solution

The fourth proportional to 215,734.16, 323,571 and 91,046 is: 136,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,734.16 : 323,571 = 91,046 : x
  2. Step 2: Convert to fraction form
    215,734.16/323,571 = 91,046/x
  3. Step 3: Cross multiply
    215,734.16x = 323,571 × 91,046
  4. Step 4: Simplify right side
    215,734.16x = 29,459,845,266
  5. Step 5: Solve for x
    x = 29,459,845,266/215,734.16
  6. Step 6: Final answer
    x = 136,556.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.