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Finding the Fourth Proportional to 144,174.06, 216,108 and 85,037.58

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Solution

The fourth proportional to 144,174.06, 216,108 and 85,037.58 is: 127,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,174.06 : 216,108 = 85,037.58 : x
  2. Step 2: Convert to fraction form
    144,174.06/216,108 = 85,037.58/x
  3. Step 3: Cross multiply
    144,174.06x = 216,108 × 85,037.58
  4. Step 4: Simplify right side
    144,174.06x = 18,377,301,338.64
  5. Step 5: Solve for x
    x = 18,377,301,338.64/144,174.06
  6. Step 6: Final answer
    x = 127,466.07

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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.