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Finding the Fourth Proportional to 206,984.28, 310,216.68 and 88,516.32

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Solution

The fourth proportional to 206,984.28, 310,216.68 and 88,516.32 is: 132,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984.28 : 310,216.68 = 88,516.32 : x
  2. Step 2: Convert to fraction form
    206,984.28/310,216.68 = 88,516.32/x
  3. Step 3: Cross multiply
    206,984.28x = 310,216.68 × 88,516.32
  4. Step 4: Simplify right side
    206,984.28x = 27,459,238,916.22
  5. Step 5: Solve for x
    x = 27,459,238,916.22/206,984.28
  6. Step 6: Final answer
    x = 132,663.40

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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.