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Finding the Fourth Proportional to 143,904, 198,587.52 and 84,288

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Solution

The fourth proportional to 143,904, 198,587.52 and 84,288 is: 116,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,904 : 198,587.52 = 84,288 : x
  2. Step 2: Convert to fraction form
    143,904/198,587.52 = 84,288/x
  3. Step 3: Cross multiply
    143,904x = 198,587.52 × 84,288
  4. Step 4: Simplify right side
    143,904x = 16,738,544,885.76
  5. Step 5: Solve for x
    x = 16,738,544,885.76/143,904
  6. Step 6: Final answer
    x = 116,317.44

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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.