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Finding the Fourth Proportional to 45,987, 69,043.56 and 23,815.68

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Solution

The fourth proportional to 45,987, 69,043.56 and 23,815.68 is: 35,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987 : 69,043.56 = 23,815.68 : x
  2. Step 2: Convert to fraction form
    45,987/69,043.56 = 23,815.68/x
  3. Step 3: Cross multiply
    45,987x = 69,043.56 × 23,815.68
  4. Step 4: Simplify right side
    45,987x = 1,644,319,331.02
  5. Step 5: Solve for x
    x = 1,644,319,331.02/45,987
  6. Step 6: Final answer
    x = 35,756.18

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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.