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Finding the Fourth Proportional to 219,671.86, 329,507.82 and 53,459.86

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Solution

The fourth proportional to 219,671.86, 329,507.82 and 53,459.86 is: 80,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,671.86 : 329,507.82 = 53,459.86 : x
  2. Step 2: Convert to fraction form
    219,671.86/329,507.82 = 53,459.86/x
  3. Step 3: Cross multiply
    219,671.86x = 329,507.82 × 53,459.86
  4. Step 4: Simplify right side
    219,671.86x = 17,615,441,926.11
  5. Step 5: Solve for x
    x = 17,615,441,926.11/219,671.86
  6. Step 6: Final answer
    x = 80,189.80

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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.