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Finding the Fourth Proportional to 194,938.80, 292,408.20 and 84,130.80

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Solution

The fourth proportional to 194,938.80, 292,408.20 and 84,130.80 is: 126,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,938.80 : 292,408.20 = 84,130.80 : x
  2. Step 2: Convert to fraction form
    194,938.80/292,408.20 = 84,130.80/x
  3. Step 3: Cross multiply
    194,938.80x = 292,408.20 × 84,130.80
  4. Step 4: Simplify right side
    194,938.80x = 24,600,535,792.56
  5. Step 5: Solve for x
    x = 24,600,535,792.56/194,938.80
  6. Step 6: Final answer
    x = 126,196.20

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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.