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Finding the Fourth Proportional to 72,501.76, 108,769.92 and 30,952

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Solution

The fourth proportional to 72,501.76, 108,769.92 and 30,952 is: 46,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,501.76 : 108,769.92 = 30,952 : x
  2. Step 2: Convert to fraction form
    72,501.76/108,769.92 = 30,952/x
  3. Step 3: Cross multiply
    72,501.76x = 108,769.92 × 30,952
  4. Step 4: Simplify right side
    72,501.76x = 3,366,646,563.84
  5. Step 5: Solve for x
    x = 3,366,646,563.84/72,501.76
  6. Step 6: Final answer
    x = 46,435.38

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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.