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Finding the Fourth Proportional to 231,031.58, 318,808.47 and 134,226.86

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Solution

The fourth proportional to 231,031.58, 318,808.47 and 134,226.86 is: 185,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,031.58 : 318,808.47 = 134,226.86 : x
  2. Step 2: Convert to fraction form
    231,031.58/318,808.47 = 134,226.86/x
  3. Step 3: Cross multiply
    231,031.58x = 318,808.47 × 134,226.86
  4. Step 4: Simplify right side
    231,031.58x = 42,792,659,869.50
  5. Step 5: Solve for x
    x = 42,792,659,869.50/231,031.58
  6. Step 6: Final answer
    x = 185,224.29

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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.