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Finding the Fourth Proportional to 198,133.20, 297,199.80 and 73,448.40

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Solution

The fourth proportional to 198,133.20, 297,199.80 and 73,448.40 is: 110,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,133.20 : 297,199.80 = 73,448.40 : x
  2. Step 2: Convert to fraction form
    198,133.20/297,199.80 = 73,448.40/x
  3. Step 3: Cross multiply
    198,133.20x = 297,199.80 × 73,448.40
  4. Step 4: Simplify right side
    198,133.20x = 21,828,849,790.32
  5. Step 5: Solve for x
    x = 21,828,849,790.32/198,133.20
  6. Step 6: Final answer
    x = 110,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.