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Finding the Fourth Proportional to 213,085.14, 319,406.04 and 86,671.14

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Solution

The fourth proportional to 213,085.14, 319,406.04 and 86,671.14 is: 129,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.14 : 319,406.04 = 86,671.14 : x
  2. Step 2: Convert to fraction form
    213,085.14/319,406.04 = 86,671.14/x
  3. Step 3: Cross multiply
    213,085.14x = 319,406.04 × 86,671.14
  4. Step 4: Simplify right side
    213,085.14x = 27,683,285,609.69
  5. Step 5: Solve for x
    x = 27,683,285,609.69/213,085.14
  6. Step 6: Final answer
    x = 129,916.55

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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.