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Finding the Fourth Proportional to 51,891.64, 77,862.08 and 30,873.20

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Solution

The fourth proportional to 51,891.64, 77,862.08 and 30,873.20 is: 46,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.64 : 77,862.08 = 30,873.20 : x
  2. Step 2: Convert to fraction form
    51,891.64/77,862.08 = 30,873.20/x
  3. Step 3: Cross multiply
    51,891.64x = 77,862.08 × 30,873.20
  4. Step 4: Simplify right side
    51,891.64x = 2,403,851,568.26
  5. Step 5: Solve for x
    x = 2,403,851,568.26/51,891.64
  6. Step 6: Final answer
    x = 46,324.45

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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.