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Finding the Fourth Proportional to 57,172.64, 85,746.06 and 19,731.20

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Solution

The fourth proportional to 57,172.64, 85,746.06 and 19,731.20 is: 29,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172.64 : 85,746.06 = 19,731.20 : x
  2. Step 2: Convert to fraction form
    57,172.64/85,746.06 = 19,731.20/x
  3. Step 3: Cross multiply
    57,172.64x = 85,746.06 × 19,731.20
  4. Step 4: Simplify right side
    57,172.64x = 1,691,872,230.34
  5. Step 5: Solve for x
    x = 1,691,872,230.34/57,172.64
  6. Step 6: Final answer
    x = 29,592.34

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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.