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Finding the Fourth Proportional to 85,098.36, 127,457.46 and 61,671

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Solution

The fourth proportional to 85,098.36, 127,457.46 and 61,671 is: 92,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098.36 : 127,457.46 = 61,671 : x
  2. Step 2: Convert to fraction form
    85,098.36/127,457.46 = 61,671/x
  3. Step 3: Cross multiply
    85,098.36x = 127,457.46 × 61,671
  4. Step 4: Simplify right side
    85,098.36x = 7,860,429,015.66
  5. Step 5: Solve for x
    x = 7,860,429,015.66/85,098.36
  6. Step 6: Final answer
    x = 92,368.75

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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.