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Finding the Fourth Proportional to 195,408, 292,938.24 and 70,721.28

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Solution

The fourth proportional to 195,408, 292,938.24 and 70,721.28 is: 106,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,408 : 292,938.24 = 70,721.28 : x
  2. Step 2: Convert to fraction form
    195,408/292,938.24 = 70,721.28/x
  3. Step 3: Cross multiply
    195,408x = 292,938.24 × 70,721.28
  4. Step 4: Simplify right side
    195,408x = 20,716,967,293.75
  5. Step 5: Solve for x
    x = 20,716,967,293.75/195,408
  6. Step 6: Final answer
    x = 106,019.03

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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.