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Finding the Fourth Proportional to 198,077.99, 297,009.45 and 89,947.98

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Solution

The fourth proportional to 198,077.99, 297,009.45 and 89,947.98 is: 134,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,077.99 : 297,009.45 = 89,947.98 : x
  2. Step 2: Convert to fraction form
    198,077.99/297,009.45 = 89,947.98/x
  3. Step 3: Cross multiply
    198,077.99x = 297,009.45 × 89,947.98
  4. Step 4: Simplify right side
    198,077.99x = 26,715,400,068.41
  5. Step 5: Solve for x
    x = 26,715,400,068.41/198,077.99
  6. Step 6: Final answer
    x = 134,873.14

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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.