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Finding the Fourth Proportional to 107,781.20, 161,671.80 and 106,031.60

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Solution

The fourth proportional to 107,781.20, 161,671.80 and 106,031.60 is: 159,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,781.20 : 161,671.80 = 106,031.60 : x
  2. Step 2: Convert to fraction form
    107,781.20/161,671.80 = 106,031.60/x
  3. Step 3: Cross multiply
    107,781.20x = 161,671.80 × 106,031.60
  4. Step 4: Simplify right side
    107,781.20x = 17,142,319,628.88
  5. Step 5: Solve for x
    x = 17,142,319,628.88/107,781.20
  6. Step 6: Final answer
    x = 159,047.40

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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.