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Finding the Fourth Proportional to 100,709.34, 151,072.65 and 48,160.86

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Solution

The fourth proportional to 100,709.34, 151,072.65 and 48,160.86 is: 72,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,709.34 : 151,072.65 = 48,160.86 : x
  2. Step 2: Convert to fraction form
    100,709.34/151,072.65 = 48,160.86/x
  3. Step 3: Cross multiply
    100,709.34x = 151,072.65 × 48,160.86
  4. Step 4: Simplify right side
    100,709.34x = 7,275,788,746.48
  5. Step 5: Solve for x
    x = 7,275,788,746.48/100,709.34
  6. Step 6: Final answer
    x = 72,245.42

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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.