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Finding the Fourth Proportional to 72,881.82, 100,455.93 and 57,747.78

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Solution

The fourth proportional to 72,881.82, 100,455.93 and 57,747.78 is: 79,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,881.82 : 100,455.93 = 57,747.78 : x
  2. Step 2: Convert to fraction form
    72,881.82/100,455.93 = 57,747.78/x
  3. Step 3: Cross multiply
    72,881.82x = 100,455.93 × 57,747.78
  4. Step 4: Simplify right side
    72,881.82x = 5,801,106,945.34
  5. Step 5: Solve for x
    x = 5,801,106,945.34/72,881.82
  6. Step 6: Final answer
    x = 79,596.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.