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Finding the Fourth Proportional to 107,939.40, 161,909.10 and 78,563.40

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Solution

The fourth proportional to 107,939.40, 161,909.10 and 78,563.40 is: 117,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,939.40 : 161,909.10 = 78,563.40 : x
  2. Step 2: Convert to fraction form
    107,939.40/161,909.10 = 78,563.40/x
  3. Step 3: Cross multiply
    107,939.40x = 161,909.10 × 78,563.40
  4. Step 4: Simplify right side
    107,939.40x = 12,720,129,386.94
  5. Step 5: Solve for x
    x = 12,720,129,386.94/107,939.40
  6. Step 6: Final answer
    x = 117,845.10

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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.