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Finding the Fourth Proportional to 138,811.08, 191,559.04 and 75,148.86

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Solution

The fourth proportional to 138,811.08, 191,559.04 and 75,148.86 is: 103,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.08 : 191,559.04 = 75,148.86 : x
  2. Step 2: Convert to fraction form
    138,811.08/191,559.04 = 75,148.86/x
  3. Step 3: Cross multiply
    138,811.08x = 191,559.04 × 75,148.86
  4. Step 4: Simplify right side
    138,811.08x = 14,395,443,478.69
  5. Step 5: Solve for x
    x = 14,395,443,478.69/138,811.08
  6. Step 6: Final answer
    x = 103,705.29

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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.