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Finding the Fourth Proportional to 202,142.40, 302,970.60 and 83,752.80

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Solution

The fourth proportional to 202,142.40, 302,970.60 and 83,752.80 is: 125,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.40 : 302,970.60 = 83,752.80 : x
  2. Step 2: Convert to fraction form
    202,142.40/302,970.60 = 83,752.80/x
  3. Step 3: Cross multiply
    202,142.40x = 302,970.60 × 83,752.80
  4. Step 4: Simplify right side
    202,142.40x = 25,374,636,067.68
  5. Step 5: Solve for x
    x = 25,374,636,067.68/202,142.40
  6. Step 6: Final answer
    x = 125,528.52

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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.