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Finding the Fourth Proportional to 72,912.34, 109,386.13 and 30,769.66

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Solution

The fourth proportional to 72,912.34, 109,386.13 and 30,769.66 is: 46,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,912.34 : 109,386.13 = 30,769.66 : x
  2. Step 2: Convert to fraction form
    72,912.34/109,386.13 = 30,769.66/x
  3. Step 3: Cross multiply
    72,912.34x = 109,386.13 × 30,769.66
  4. Step 4: Simplify right side
    72,912.34x = 3,365,774,028.82
  5. Step 5: Solve for x
    x = 3,365,774,028.82/72,912.34
  6. Step 6: Final answer
    x = 46,161.93

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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.