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Finding the Fourth Proportional to 143,461.80, 198,015.30 and 101,039.40

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Solution

The fourth proportional to 143,461.80, 198,015.30 and 101,039.40 is: 139,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,461.80 : 198,015.30 = 101,039.40 : x
  2. Step 2: Convert to fraction form
    143,461.80/198,015.30 = 101,039.40/x
  3. Step 3: Cross multiply
    143,461.80x = 198,015.30 × 101,039.40
  4. Step 4: Simplify right side
    143,461.80x = 20,007,347,102.82
  5. Step 5: Solve for x
    x = 20,007,347,102.82/143,461.80
  6. Step 6: Final answer
    x = 139,461.15

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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.