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Finding the Fourth Proportional to 130,920.62, 196,451.31 and 52,035.50

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Solution

The fourth proportional to 130,920.62, 196,451.31 and 52,035.50 is: 78,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920.62 : 196,451.31 = 52,035.50 : x
  2. Step 2: Convert to fraction form
    130,920.62/196,451.31 = 52,035.50/x
  3. Step 3: Cross multiply
    130,920.62x = 196,451.31 × 52,035.50
  4. Step 4: Simplify right side
    130,920.62x = 10,222,442,141.51
  5. Step 5: Solve for x
    x = 10,222,442,141.51/130,920.62
  6. Step 6: Final answer
    x = 78,081.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.