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Finding the Fourth Proportional to 57,152.46, 85,732.80 and 19,712

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Solution

The fourth proportional to 57,152.46, 85,732.80 and 19,712 is: 29,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.46 : 85,732.80 = 19,712 : x
  2. Step 2: Convert to fraction form
    57,152.46/85,732.80 = 19,712/x
  3. Step 3: Cross multiply
    57,152.46x = 85,732.80 × 19,712
  4. Step 4: Simplify right side
    57,152.46x = 1,689,964,953.60
  5. Step 5: Solve for x
    x = 1,689,964,953.60/57,152.46
  6. Step 6: Final answer
    x = 29,569.42

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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.