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Finding the Fourth Proportional to 202,829.80, 304,503.90 and 108,135.40

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Solution

The fourth proportional to 202,829.80, 304,503.90 and 108,135.40 is: 162,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,829.80 : 304,503.90 = 108,135.40 : x
  2. Step 2: Convert to fraction form
    202,829.80/304,503.90 = 108,135.40/x
  3. Step 3: Cross multiply
    202,829.80x = 304,503.90 × 108,135.40
  4. Step 4: Simplify right side
    202,829.80x = 32,927,651,028.06
  5. Step 5: Solve for x
    x = 32,927,651,028.06/202,829.80
  6. Step 6: Final answer
    x = 162,341.29

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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.