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Finding the Fourth Proportional to 194,999.70, 292,305.15 and 89,634.90

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Solution

The fourth proportional to 194,999.70, 292,305.15 and 89,634.90 is: 134,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,999.70 : 292,305.15 = 89,634.90 : x
  2. Step 2: Convert to fraction form
    194,999.70/292,305.15 = 89,634.90/x
  3. Step 3: Cross multiply
    194,999.70x = 292,305.15 × 89,634.90
  4. Step 4: Simplify right side
    194,999.70x = 26,200,742,889.74
  5. Step 5: Solve for x
    x = 26,200,742,889.74/194,999.70
  6. Step 6: Final answer
    x = 134,362.99

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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.