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Finding the Fourth Proportional to 143,658.13, 198,248.21 and 83,263.81

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Solution

The fourth proportional to 143,658.13, 198,248.21 and 83,263.81 is: 114,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,658.13 : 198,248.21 = 83,263.81 : x
  2. Step 2: Convert to fraction form
    143,658.13/198,248.21 = 83,263.81/x
  3. Step 3: Cross multiply
    143,658.13x = 198,248.21 × 83,263.81
  4. Step 4: Simplify right side
    143,658.13x = 16,506,901,290.28
  5. Step 5: Solve for x
    x = 16,506,901,290.28/143,658.13
  6. Step 6: Final answer
    x = 114,904.05

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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.