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Finding the Fourth Proportional to 107,707.72, 161,310.78 and 103,970.92

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Solution

The fourth proportional to 107,707.72, 161,310.78 and 103,970.92 is: 155,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,707.72 : 161,310.78 = 103,970.92 : x
  2. Step 2: Convert to fraction form
    107,707.72/161,310.78 = 103,970.92/x
  3. Step 3: Cross multiply
    107,707.72x = 161,310.78 × 103,970.92
  4. Step 4: Simplify right side
    107,707.72x = 16,771,630,202.52
  5. Step 5: Solve for x
    x = 16,771,630,202.52/107,707.72
  6. Step 6: Final answer
    x = 155,714.28

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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.