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Finding the Fourth Proportional to 143,671.69, 198,267.20 and 83,254

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Solution

The fourth proportional to 143,671.69, 198,267.20 and 83,254 is: 114,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,671.69 : 198,267.20 = 83,254 : x
  2. Step 2: Convert to fraction form
    143,671.69/198,267.20 = 83,254/x
  3. Step 3: Cross multiply
    143,671.69x = 198,267.20 × 83,254
  4. Step 4: Simplify right side
    143,671.69x = 16,506,537,468.80
  5. Step 5: Solve for x
    x = 16,506,537,468.80/143,671.69
  6. Step 6: Final answer
    x = 114,890.68

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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.