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Finding the Fourth Proportional to 188,420.40, 282,544.20 and 83,185.20

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Solution

The fourth proportional to 188,420.40, 282,544.20 and 83,185.20 is: 124,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420.40 : 282,544.20 = 83,185.20 : x
  2. Step 2: Convert to fraction form
    188,420.40/282,544.20 = 83,185.20/x
  3. Step 3: Cross multiply
    188,420.40x = 282,544.20 × 83,185.20
  4. Step 4: Simplify right side
    188,420.40x = 23,503,495,785.84
  5. Step 5: Solve for x
    x = 23,503,495,785.84/188,420.40
  6. Step 6: Final answer
    x = 124,739.66

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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.