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Finding the Fourth Proportional to 213,077.59, 319,581.50 and 86,712.73

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Solution

The fourth proportional to 213,077.59, 319,581.50 and 86,712.73 is: 130,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,077.59 : 319,581.50 = 86,712.73 : x
  2. Step 2: Convert to fraction form
    213,077.59/319,581.50 = 86,712.73/x
  3. Step 3: Cross multiply
    213,077.59x = 319,581.50 × 86,712.73
  4. Step 4: Simplify right side
    213,077.59x = 27,711,783,577.74
  5. Step 5: Solve for x
    x = 27,711,783,577.74/213,077.59
  6. Step 6: Final answer
    x = 130,054.90

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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.