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Finding the Fourth Proportional to 210,797.12, 316,195.68 and 86,138

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Solution

The fourth proportional to 210,797.12, 316,195.68 and 86,138 is: 129,207

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,797.12 : 316,195.68 = 86,138 : x
  2. Step 2: Convert to fraction form
    210,797.12/316,195.68 = 86,138/x
  3. Step 3: Cross multiply
    210,797.12x = 316,195.68 × 86,138
  4. Step 4: Simplify right side
    210,797.12x = 27,236,463,483.84
  5. Step 5: Solve for x
    x = 27,236,463,483.84/210,797.12
  6. Step 6: Final answer
    x = 129,207

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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.