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Finding the Fourth Proportional to 100,905.86, 151,357.16 and 34,392.30

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Solution

The fourth proportional to 100,905.86, 151,357.16 and 34,392.30 is: 51,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.86 : 151,357.16 = 34,392.30 : x
  2. Step 2: Convert to fraction form
    100,905.86/151,357.16 = 34,392.30/x
  3. Step 3: Cross multiply
    100,905.86x = 151,357.16 × 34,392.30
  4. Step 4: Simplify right side
    100,905.86x = 5,205,520,853.87
  5. Step 5: Solve for x
    x = 5,205,520,853.87/100,905.86
  6. Step 6: Final answer
    x = 51,587.89

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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.