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Finding the Fourth Proportional to 219,671.13, 329,506.70 and 53,459.13

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Solution

The fourth proportional to 219,671.13, 329,506.70 and 53,459.13 is: 80,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,671.13 : 329,506.70 = 53,459.13 : x
  2. Step 2: Convert to fraction form
    219,671.13/329,506.70 = 53,459.13/x
  3. Step 3: Cross multiply
    219,671.13x = 329,506.70 × 53,459.13
  4. Step 4: Simplify right side
    219,671.13x = 17,615,141,511.17
  5. Step 5: Solve for x
    x = 17,615,141,511.17/219,671.13
  6. Step 6: Final answer
    x = 80,188.70

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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.