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Finding the Fourth Proportional to 107,780.80, 161,678.40 and 36,702.40

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Solution

The fourth proportional to 107,780.80, 161,678.40 and 36,702.40 is: 55,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,780.80 : 161,678.40 = 36,702.40 : x
  2. Step 2: Convert to fraction form
    107,780.80/161,678.40 = 36,702.40/x
  3. Step 3: Cross multiply
    107,780.80x = 161,678.40 × 36,702.40
  4. Step 4: Simplify right side
    107,780.80x = 5,933,985,308.16
  5. Step 5: Solve for x
    x = 5,933,985,308.16/107,780.80
  6. Step 6: Final answer
    x = 55,056.05

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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.