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Finding the Fourth Proportional to 292,201.16, 438,318.41 and 81,855.50

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Solution

The fourth proportional to 292,201.16, 438,318.41 and 81,855.50 is: 122,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,201.16 : 438,318.41 = 81,855.50 : x
  2. Step 2: Convert to fraction form
    292,201.16/438,318.41 = 81,855.50/x
  3. Step 3: Cross multiply
    292,201.16x = 438,318.41 × 81,855.50
  4. Step 4: Simplify right side
    292,201.16x = 35,878,770,008.89
  5. Step 5: Solve for x
    x = 35,878,770,008.89/292,201.16
  6. Step 6: Final answer
    x = 122,787.91

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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.