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Finding the Fourth Proportional to 102,645.82, 153,973.05 and 50,099.50

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Solution

The fourth proportional to 102,645.82, 153,973.05 and 50,099.50 is: 75,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.82 : 153,973.05 = 50,099.50 : x
  2. Step 2: Convert to fraction form
    102,645.82/153,973.05 = 50,099.50/x
  3. Step 3: Cross multiply
    102,645.82x = 153,973.05 × 50,099.50
  4. Step 4: Simplify right side
    102,645.82x = 7,713,972,818.48
  5. Step 5: Solve for x
    x = 7,713,972,818.48/102,645.82
  6. Step 6: Final answer
    x = 75,151.36

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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.