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Finding the Fourth Proportional to 219,871, 329,584.98 and 86,699.64

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Solution

The fourth proportional to 219,871, 329,584.98 and 86,699.64 is: 129,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,871 : 329,584.98 = 86,699.64 : x
  2. Step 2: Convert to fraction form
    219,871/329,584.98 = 86,699.64/x
  3. Step 3: Cross multiply
    219,871x = 329,584.98 × 86,699.64
  4. Step 4: Simplify right side
    219,871x = 28,574,899,115.41
  5. Step 5: Solve for x
    x = 28,574,899,115.41/219,871
  6. Step 6: Final answer
    x = 129,962.11

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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.