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Finding the Fourth Proportional to 61,605.12, 85,014.64 and 34,747.86

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Solution

The fourth proportional to 61,605.12, 85,014.64 and 34,747.86 is: 47,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,605.12 : 85,014.64 = 34,747.86 : x
  2. Step 2: Convert to fraction form
    61,605.12/85,014.64 = 34,747.86/x
  3. Step 3: Cross multiply
    61,605.12x = 85,014.64 × 34,747.86
  4. Step 4: Simplify right side
    61,605.12x = 2,954,076,808.67
  5. Step 5: Solve for x
    x = 2,954,076,808.67/61,605.12
  6. Step 6: Final answer
    x = 47,951.81

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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.