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Finding the Fourth Proportional to 135,478.96, 186,958.62 and 75,048.34

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Solution

The fourth proportional to 135,478.96, 186,958.62 and 75,048.34 is: 103,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,478.96 : 186,958.62 = 75,048.34 : x
  2. Step 2: Convert to fraction form
    135,478.96/186,958.62 = 75,048.34/x
  3. Step 3: Cross multiply
    135,478.96x = 186,958.62 × 75,048.34
  4. Step 4: Simplify right side
    135,478.96x = 14,030,934,079.69
  5. Step 5: Solve for x
    x = 14,030,934,079.69/135,478.96
  6. Step 6: Final answer
    x = 103,565.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.