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Finding the Fourth Proportional to 61,729.36, 92,051.96 and 61,168

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Solution

The fourth proportional to 61,729.36, 92,051.96 and 61,168 is: 91,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,729.36 : 92,051.96 = 61,168 : x
  2. Step 2: Convert to fraction form
    61,729.36/92,051.96 = 61,168/x
  3. Step 3: Cross multiply
    61,729.36x = 92,051.96 × 61,168
  4. Step 4: Simplify right side
    61,729.36x = 5,630,634,289.28
  5. Step 5: Solve for x
    x = 5,630,634,289.28/61,729.36
  6. Step 6: Final answer
    x = 91,214.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.