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Finding the Fourth Proportional to 100,255, 138,351.93 and 59,970.46

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Solution

The fourth proportional to 100,255, 138,351.93 and 59,970.46 is: 82,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,255 : 138,351.93 = 59,970.46 : x
  2. Step 2: Convert to fraction form
    100,255/138,351.93 = 59,970.46/x
  3. Step 3: Cross multiply
    100,255x = 138,351.93 × 59,970.46
  4. Step 4: Simplify right side
    100,255x = 8,297,028,883.99
  5. Step 5: Solve for x
    x = 8,297,028,883.99/100,255
  6. Step 6: Final answer
    x = 82,759.25

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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.