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Finding the Fourth Proportional to 61,919.84, 85,493.76 and 38,078.48

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Solution

The fourth proportional to 61,919.84, 85,493.76 and 38,078.48 is: 52,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,919.84 : 85,493.76 = 38,078.48 : x
  2. Step 2: Convert to fraction form
    61,919.84/85,493.76 = 38,078.48/x
  3. Step 3: Cross multiply
    61,919.84x = 85,493.76 × 38,078.48
  4. Step 4: Simplify right side
    61,919.84x = 3,255,472,430.28
  5. Step 5: Solve for x
    x = 3,255,472,430.28/61,919.84
  6. Step 6: Final answer
    x = 52,575.59

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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.