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Finding the Fourth Proportional to 159,031.76, 219,465.50 and 86,434.64

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Solution

The fourth proportional to 159,031.76, 219,465.50 and 86,434.64 is: 119,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,031.76 : 219,465.50 = 86,434.64 : x
  2. Step 2: Convert to fraction form
    159,031.76/219,465.50 = 86,434.64/x
  3. Step 3: Cross multiply
    159,031.76x = 219,465.50 × 86,434.64
  4. Step 4: Simplify right side
    159,031.76x = 18,969,419,955.42
  5. Step 5: Solve for x
    x = 18,969,419,955.42/159,031.76
  6. Step 6: Final answer
    x = 119,280.71

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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.