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Finding the Fourth Proportional to 101,285.66, 139,683.39 and 84,346

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Solution

The fourth proportional to 101,285.66, 139,683.39 and 84,346 is: 116,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,285.66 : 139,683.39 = 84,346 : x
  2. Step 2: Convert to fraction form
    101,285.66/139,683.39 = 84,346/x
  3. Step 3: Cross multiply
    101,285.66x = 139,683.39 × 84,346
  4. Step 4: Simplify right side
    101,285.66x = 11,781,735,212.94
  5. Step 5: Solve for x
    x = 11,781,735,212.94/101,285.66
  6. Step 6: Final answer
    x = 116,321.85

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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.