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Finding the Fourth Proportional to 57,419.64, 86,154.12 and 19,959.30

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Solution

The fourth proportional to 57,419.64, 86,154.12 and 19,959.30 is: 29,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,419.64 : 86,154.12 = 19,959.30 : x
  2. Step 2: Convert to fraction form
    57,419.64/86,154.12 = 19,959.30/x
  3. Step 3: Cross multiply
    57,419.64x = 86,154.12 × 19,959.30
  4. Step 4: Simplify right side
    57,419.64x = 1,719,575,927.32
  5. Step 5: Solve for x
    x = 1,719,575,927.32/57,419.64
  6. Step 6: Final answer
    x = 29,947.52

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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.