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Finding the Fourth Proportional to 72,594.96, 108,970.20 and 57,120.72

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Solution

The fourth proportional to 72,594.96, 108,970.20 and 57,120.72 is: 85,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,594.96 : 108,970.20 = 57,120.72 : x
  2. Step 2: Convert to fraction form
    72,594.96/108,970.20 = 57,120.72/x
  3. Step 3: Cross multiply
    72,594.96x = 108,970.20 × 57,120.72
  4. Step 4: Simplify right side
    72,594.96x = 6,224,456,282.54
  5. Step 5: Solve for x
    x = 6,224,456,282.54/72,594.96
  6. Step 6: Final answer
    x = 85,742.26

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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.