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Finding the Fourth Proportional to 100,784.25, 151,203.71 and 30,663.56

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Solution

The fourth proportional to 100,784.25, 151,203.71 and 30,663.56 is: 46,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.25 : 151,203.71 = 30,663.56 : x
  2. Step 2: Convert to fraction form
    100,784.25/151,203.71 = 30,663.56/x
  3. Step 3: Cross multiply
    100,784.25x = 151,203.71 × 30,663.56
  4. Step 4: Simplify right side
    100,784.25x = 4,636,444,488.48
  5. Step 5: Solve for x
    x = 4,636,444,488.48/100,784.25
  6. Step 6: Final answer
    x = 46,003.66

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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.