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Finding the Fourth Proportional to 292,170.84, 438,222.24 and 81,825.72

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Solution

The fourth proportional to 292,170.84, 438,222.24 and 81,825.72 is: 122,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,170.84 : 438,222.24 = 81,825.72 : x
  2. Step 2: Convert to fraction form
    292,170.84/438,222.24 = 81,825.72/x
  3. Step 3: Cross multiply
    292,170.84x = 438,222.24 × 81,825.72
  4. Step 4: Simplify right side
    292,170.84x = 35,857,850,308.01
  5. Step 5: Solve for x
    x = 35,857,850,308.01/292,170.84
  6. Step 6: Final answer
    x = 122,729.05

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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.