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Finding the Fourth Proportional to 188,419.70, 260,016.24 and 103,534.94

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Solution

The fourth proportional to 188,419.70, 260,016.24 and 103,534.94 is: 142,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,419.70 : 260,016.24 = 103,534.94 : x
  2. Step 2: Convert to fraction form
    188,419.70/260,016.24 = 103,534.94/x
  3. Step 3: Cross multiply
    188,419.70x = 260,016.24 × 103,534.94
  4. Step 4: Simplify right side
    188,419.70x = 26,920,765,807.43
  5. Step 5: Solve for x
    x = 26,920,765,807.43/188,419.70
  6. Step 6: Final answer
    x = 142,876.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.