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Finding the Fourth Proportional to 109,402.62, 164,103.93 and 30,516.72

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Solution

The fourth proportional to 109,402.62, 164,103.93 and 30,516.72 is: 45,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,402.62 : 164,103.93 = 30,516.72 : x
  2. Step 2: Convert to fraction form
    109,402.62/164,103.93 = 30,516.72/x
  3. Step 3: Cross multiply
    109,402.62x = 164,103.93 × 30,516.72
  4. Step 4: Simplify right side
    109,402.62x = 5,007,913,682.71
  5. Step 5: Solve for x
    x = 5,007,913,682.71/109,402.62
  6. Step 6: Final answer
    x = 45,775.08

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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.