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Finding the Fourth Proportional to 143,703.64, 198,311.08 and 83,309.28

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Solution

The fourth proportional to 143,703.64, 198,311.08 and 83,309.28 is: 114,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,703.64 : 198,311.08 = 83,309.28 : x
  2. Step 2: Convert to fraction form
    143,703.64/198,311.08 = 83,309.28/x
  3. Step 3: Cross multiply
    143,703.64x = 198,311.08 × 83,309.28
  4. Step 4: Simplify right side
    143,703.64x = 16,521,153,934.03
  5. Step 5: Solve for x
    x = 16,521,153,934.03/143,703.64
  6. Step 6: Final answer
    x = 114,966.85

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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.