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Finding the Fourth Proportional to 71,900.64, 107,851.23 and 21,980.54

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Solution

The fourth proportional to 71,900.64, 107,851.23 and 21,980.54 is: 32,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900.64 : 107,851.23 = 21,980.54 : x
  2. Step 2: Convert to fraction form
    71,900.64/107,851.23 = 21,980.54/x
  3. Step 3: Cross multiply
    71,900.64x = 107,851.23 × 21,980.54
  4. Step 4: Simplify right side
    71,900.64x = 2,370,628,275.06
  5. Step 5: Solve for x
    x = 2,370,628,275.06/71,900.64
  6. Step 6: Final answer
    x = 32,970.89

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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.