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Finding the Fourth Proportional to 270,543.76, 405,866.66 and 83,511.52

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Solution

The fourth proportional to 270,543.76, 405,866.66 and 83,511.52 is: 125,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,543.76 : 405,866.66 = 83,511.52 : x
  2. Step 2: Convert to fraction form
    270,543.76/405,866.66 = 83,511.52/x
  3. Step 3: Cross multiply
    270,543.76x = 405,866.66 × 83,511.52
  4. Step 4: Simplify right side
    270,543.76x = 33,894,541,693.92
  5. Step 5: Solve for x
    x = 33,894,541,693.92/270,543.76
  6. Step 6: Final answer
    x = 125,283.03

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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.