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Finding the Fourth Proportional to 81,650.40, 122,486.76 and 29,047.20

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Solution

The fourth proportional to 81,650.40, 122,486.76 and 29,047.20 is: 43,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,650.40 : 122,486.76 = 29,047.20 : x
  2. Step 2: Convert to fraction form
    81,650.40/122,486.76 = 29,047.20/x
  3. Step 3: Cross multiply
    81,650.40x = 122,486.76 × 29,047.20
  4. Step 4: Simplify right side
    81,650.40x = 3,557,897,415.07
  5. Step 5: Solve for x
    x = 3,557,897,415.07/81,650.40
  6. Step 6: Final answer
    x = 43,574.77

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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.