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Finding the Fourth Proportional to 72,465.81, 108,721.34 and 32,518.28

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Solution

The fourth proportional to 72,465.81, 108,721.34 and 32,518.28 is: 48,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,465.81 : 108,721.34 = 32,518.28 : x
  2. Step 2: Convert to fraction form
    72,465.81/108,721.34 = 32,518.28/x
  3. Step 3: Cross multiply
    72,465.81x = 108,721.34 × 32,518.28
  4. Step 4: Simplify right side
    72,465.81x = 3,535,430,595.69
  5. Step 5: Solve for x
    x = 3,535,430,595.69/72,465.81
  6. Step 6: Final answer
    x = 48,787.57

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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.