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Finding the Fourth Proportional to 57,705.70, 86,582.85 and 31,429.30

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Solution

The fourth proportional to 57,705.70, 86,582.85 and 31,429.30 is: 47,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.70 : 86,582.85 = 31,429.30 : x
  2. Step 2: Convert to fraction form
    57,705.70/86,582.85 = 31,429.30/x
  3. Step 3: Cross multiply
    57,705.70x = 86,582.85 × 31,429.30
  4. Step 4: Simplify right side
    57,705.70x = 2,721,238,367.51
  5. Step 5: Solve for x
    x = 2,721,238,367.51/57,705.70
  6. Step 6: Final answer
    x = 47,157.18

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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.