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Finding the Fourth Proportional to 210,787.12, 316,181.22 and 86,128.12

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Solution

The fourth proportional to 210,787.12, 316,181.22 and 86,128.12 is: 129,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,787.12 : 316,181.22 = 86,128.12 : x
  2. Step 2: Convert to fraction form
    210,787.12/316,181.22 = 86,128.12/x
  3. Step 3: Cross multiply
    210,787.12x = 316,181.22 × 86,128.12
  4. Step 4: Simplify right side
    210,787.12x = 27,232,094,057.91
  5. Step 5: Solve for x
    x = 27,232,094,057.91/210,787.12
  6. Step 6: Final answer
    x = 129,192.40

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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.