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Finding the Fourth Proportional to 72,764.82, 100,427.70 and 42,133.45

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Solution

The fourth proportional to 72,764.82, 100,427.70 and 42,133.45 is: 58,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764.82 : 100,427.70 = 42,133.45 : x
  2. Step 2: Convert to fraction form
    72,764.82/100,427.70 = 42,133.45/x
  3. Step 3: Cross multiply
    72,764.82x = 100,427.70 × 42,133.45
  4. Step 4: Simplify right side
    72,764.82x = 4,231,365,476.57
  5. Step 5: Solve for x
    x = 4,231,365,476.57/72,764.82
  6. Step 6: Final answer
    x = 58,151.25

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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.