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Finding the Fourth Proportional to 72,657.76, 108,942.06 and 28,232.65

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Solution

The fourth proportional to 72,657.76, 108,942.06 and 28,232.65 is: 42,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.76 : 108,942.06 = 28,232.65 : x
  2. Step 2: Convert to fraction form
    72,657.76/108,942.06 = 28,232.65/x
  3. Step 3: Cross multiply
    72,657.76x = 108,942.06 × 28,232.65
  4. Step 4: Simplify right side
    72,657.76x = 3,075,723,292.31
  5. Step 5: Solve for x
    x = 3,075,723,292.31/72,657.76
  6. Step 6: Final answer
    x = 42,331.66

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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.