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Finding the Fourth Proportional to 105,078.40, 157,480.80 and 42,676

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Solution

The fourth proportional to 105,078.40, 157,480.80 and 42,676 is: 63,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,078.40 : 157,480.80 = 42,676 : x
  2. Step 2: Convert to fraction form
    105,078.40/157,480.80 = 42,676/x
  3. Step 3: Cross multiply
    105,078.40x = 157,480.80 × 42,676
  4. Step 4: Simplify right side
    105,078.40x = 6,720,650,620.80
  5. Step 5: Solve for x
    x = 6,720,650,620.80/105,078.40
  6. Step 6: Final answer
    x = 63,958.44

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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.