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Finding the Fourth Proportional to 61,408, 84,743.04 and 34,912

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Solution

The fourth proportional to 61,408, 84,743.04 and 34,912 is: 48,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408 : 84,743.04 = 34,912 : x
  2. Step 2: Convert to fraction form
    61,408/84,743.04 = 34,912/x
  3. Step 3: Cross multiply
    61,408x = 84,743.04 × 34,912
  4. Step 4: Simplify right side
    61,408x = 2,958,549,012.48
  5. Step 5: Solve for x
    x = 2,958,549,012.48/61,408
  6. Step 6: Final answer
    x = 48,178.56

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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.