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Finding the Fourth Proportional to 36,342, 50,153.04 and 21,438

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Solution

The fourth proportional to 36,342, 50,153.04 and 21,438 is: 29,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 50,153.04 = 21,438 : x
  2. Step 2: Convert to fraction form
    36,342/50,153.04 = 21,438/x
  3. Step 3: Cross multiply
    36,342x = 50,153.04 × 21,438
  4. Step 4: Simplify right side
    36,342x = 1,075,180,871.52
  5. Step 5: Solve for x
    x = 1,075,180,871.52/36,342
  6. Step 6: Final answer
    x = 29,585.08

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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.