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Finding the Fourth Proportional to 32,111.70, 48,165.15 and 13,386.90

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Solution

The fourth proportional to 32,111.70, 48,165.15 and 13,386.90 is: 20,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.70 : 48,165.15 = 13,386.90 : x
  2. Step 2: Convert to fraction form
    32,111.70/48,165.15 = 13,386.90/x
  3. Step 3: Cross multiply
    32,111.70x = 48,165.15 × 13,386.90
  4. Step 4: Simplify right side
    32,111.70x = 644,782,046.54
  5. Step 5: Solve for x
    x = 644,782,046.54/32,111.70
  6. Step 6: Final answer
    x = 20,079.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.