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Finding the Fourth Proportional to 161,765.40, 242,714.74 and 67,014.66

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Solution

The fourth proportional to 161,765.40, 242,714.74 and 67,014.66 is: 100,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.40 : 242,714.74 = 67,014.66 : x
  2. Step 2: Convert to fraction form
    161,765.40/242,714.74 = 67,014.66/x
  3. Step 3: Cross multiply
    161,765.40x = 242,714.74 × 67,014.66
  4. Step 4: Simplify right side
    161,765.40x = 16,265,445,778.09
  5. Step 5: Solve for x
    x = 16,265,445,778.09/161,765.40
  6. Step 6: Final answer
    x = 100,549.60

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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.