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Finding the Fourth Proportional to 57,405.72, 86,073.30 and 19,957.08

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Solution

The fourth proportional to 57,405.72, 86,073.30 and 19,957.08 is: 29,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405.72 : 86,073.30 = 19,957.08 : x
  2. Step 2: Convert to fraction form
    57,405.72/86,073.30 = 19,957.08/x
  3. Step 3: Cross multiply
    57,405.72x = 86,073.30 × 19,957.08
  4. Step 4: Simplify right side
    57,405.72x = 1,717,771,733.96
  5. Step 5: Solve for x
    x = 1,717,771,733.96/57,405.72
  6. Step 6: Final answer
    x = 29,923.35

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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.