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Finding the Fourth Proportional to 85,099.36, 127,458.96 and 61,672

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Solution

The fourth proportional to 85,099.36, 127,458.96 and 61,672 is: 92,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,099.36 : 127,458.96 = 61,672 : x
  2. Step 2: Convert to fraction form
    85,099.36/127,458.96 = 61,672/x
  3. Step 3: Cross multiply
    85,099.36x = 127,458.96 × 61,672
  4. Step 4: Simplify right side
    85,099.36x = 7,860,648,981.12
  5. Step 5: Solve for x
    x = 7,860,648,981.12/85,099.36
  6. Step 6: Final answer
    x = 92,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.