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Finding the Fourth Proportional to 84,097.50, 126,149.52 and 28,693.50

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Solution

The fourth proportional to 84,097.50, 126,149.52 and 28,693.50 is: 43,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097.50 : 126,149.52 = 28,693.50 : x
  2. Step 2: Convert to fraction form
    84,097.50/126,149.52 = 28,693.50/x
  3. Step 3: Cross multiply
    84,097.50x = 126,149.52 × 28,693.50
  4. Step 4: Simplify right side
    84,097.50x = 3,619,671,252.12
  5. Step 5: Solve for x
    x = 3,619,671,252.12/84,097.50
  6. Step 6: Final answer
    x = 43,041.37

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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.