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Finding the Fourth Proportional to 61,778.50, 85,255.64 and 34,919.40

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Solution

The fourth proportional to 61,778.50, 85,255.64 and 34,919.40 is: 48,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,778.50 : 85,255.64 = 34,919.40 : x
  2. Step 2: Convert to fraction form
    61,778.50/85,255.64 = 34,919.40/x
  3. Step 3: Cross multiply
    61,778.50x = 85,255.64 × 34,919.40
  4. Step 4: Simplify right side
    61,778.50x = 2,977,076,071.48
  5. Step 5: Solve for x
    x = 2,977,076,071.48/61,778.50
  6. Step 6: Final answer
    x = 48,189.52

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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.