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Finding the Fourth Proportional to 81,239.74, 121,847.01 and 31,343.20

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Solution

The fourth proportional to 81,239.74, 121,847.01 and 31,343.20 is: 47,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,239.74 : 121,847.01 = 31,343.20 : x
  2. Step 2: Convert to fraction form
    81,239.74/121,847.01 = 31,343.20/x
  3. Step 3: Cross multiply
    81,239.74x = 121,847.01 × 31,343.20
  4. Step 4: Simplify right side
    81,239.74x = 3,819,075,203.83
  5. Step 5: Solve for x
    x = 3,819,075,203.83/81,239.74
  6. Step 6: Final answer
    x = 47,009.94

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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.