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Finding the Fourth Proportional to 211,101.84, 316,652.28 and 86,442.96

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Solution

The fourth proportional to 211,101.84, 316,652.28 and 86,442.96 is: 129,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,101.84 : 316,652.28 = 86,442.96 : x
  2. Step 2: Convert to fraction form
    211,101.84/316,652.28 = 86,442.96/x
  3. Step 3: Cross multiply
    211,101.84x = 316,652.28 × 86,442.96
  4. Step 4: Simplify right side
    211,101.84x = 27,372,360,373.95
  5. Step 5: Solve for x
    x = 27,372,360,373.95/211,101.84
  6. Step 6: Final answer
    x = 129,664.24

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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.