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Finding the Fourth Proportional to 198,547.93, 297,969.51 and 80,220.29

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Solution

The fourth proportional to 198,547.93, 297,969.51 and 80,220.29 is: 120,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,547.93 : 297,969.51 = 80,220.29 : x
  2. Step 2: Convert to fraction form
    198,547.93/297,969.51 = 80,220.29/x
  3. Step 3: Cross multiply
    198,547.93x = 297,969.51 × 80,220.29
  4. Step 4: Simplify right side
    198,547.93x = 23,903,200,503.36
  5. Step 5: Solve for x
    x = 23,903,200,503.36/198,547.93
  6. Step 6: Final answer
    x = 120,390.08

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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.