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Finding the Fourth Proportional to 101,943.93, 152,916 and 38,749.20

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Solution

The fourth proportional to 101,943.93, 152,916 and 38,749.20 is: 58,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.93 : 152,916 = 38,749.20 : x
  2. Step 2: Convert to fraction form
    101,943.93/152,916 = 38,749.20/x
  3. Step 3: Cross multiply
    101,943.93x = 152,916 × 38,749.20
  4. Step 4: Simplify right side
    101,943.93x = 5,925,372,667.20
  5. Step 5: Solve for x
    x = 5,925,372,667.20/101,943.93
  6. Step 6: Final answer
    x = 58,123.84

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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.