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Finding the Fourth Proportional to 206,984, 310,596.47 and 87,032.27

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Solution

The fourth proportional to 206,984, 310,596.47 and 87,032.27 is: 130,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984 : 310,596.47 = 87,032.27 : x
  2. Step 2: Convert to fraction form
    206,984/310,596.47 = 87,032.27/x
  3. Step 3: Cross multiply
    206,984x = 310,596.47 × 87,032.27
  4. Step 4: Simplify right side
    206,984x = 27,031,915,838.09
  5. Step 5: Solve for x
    x = 27,031,915,838.09/206,984
  6. Step 6: Final answer
    x = 130,599.06

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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.