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Finding the Fourth Proportional to 143,636, 198,230.80 and 84,020

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Solution

The fourth proportional to 143,636, 198,230.80 and 84,020 is: 115,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,636 : 198,230.80 = 84,020 : x
  2. Step 2: Convert to fraction form
    143,636/198,230.80 = 84,020/x
  3. Step 3: Cross multiply
    143,636x = 198,230.80 × 84,020
  4. Step 4: Simplify right side
    143,636x = 16,655,351,816.00
  5. Step 5: Solve for x
    x = 16,655,351,816.00/143,636
  6. Step 6: Final answer
    x = 115,955.27

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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.