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Finding the Fourth Proportional to 206,983.63, 310,595.91 and 87,031.90

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Solution

The fourth proportional to 206,983.63, 310,595.91 and 87,031.90 is: 130,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,983.63 : 310,595.91 = 87,031.90 : x
  2. Step 2: Convert to fraction form
    206,983.63/310,595.91 = 87,031.90/x
  3. Step 3: Cross multiply
    206,983.63x = 310,595.91 × 87,031.90
  4. Step 4: Simplify right side
    206,983.63x = 27,031,752,179.53
  5. Step 5: Solve for x
    x = 27,031,752,179.53/206,983.63
  6. Step 6: Final answer
    x = 130,598.50

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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.