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Finding the Fourth Proportional to 107,951.70, 161,927.55 and 99,657.30

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Solution

The fourth proportional to 107,951.70, 161,927.55 and 99,657.30 is: 149,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,951.70 : 161,927.55 = 99,657.30 : x
  2. Step 2: Convert to fraction form
    107,951.70/161,927.55 = 99,657.30/x
  3. Step 3: Cross multiply
    107,951.70x = 161,927.55 × 99,657.30
  4. Step 4: Simplify right side
    107,951.70x = 16,137,262,428.62
  5. Step 5: Solve for x
    x = 16,137,262,428.62/107,951.70
  6. Step 6: Final answer
    x = 149,485.95

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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.