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Finding the Fourth Proportional to 188,702.40, 282,673.68 and 87,357.60

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Solution

The fourth proportional to 188,702.40, 282,673.68 and 87,357.60 is: 130,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,702.40 : 282,673.68 = 87,357.60 : x
  2. Step 2: Convert to fraction form
    188,702.40/282,673.68 = 87,357.60/x
  3. Step 3: Cross multiply
    188,702.40x = 282,673.68 × 87,357.60
  4. Step 4: Simplify right side
    188,702.40x = 24,693,694,267.97
  5. Step 5: Solve for x
    x = 24,693,694,267.97/188,702.40
  6. Step 6: Final answer
    x = 130,860.52

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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.