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Finding the Fourth Proportional to 105,254.60, 157,906.53 and 71,990.33

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Solution

The fourth proportional to 105,254.60, 157,906.53 and 71,990.33 is: 108,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,254.60 : 157,906.53 = 71,990.33 : x
  2. Step 2: Convert to fraction form
    105,254.60/157,906.53 = 71,990.33/x
  3. Step 3: Cross multiply
    105,254.60x = 157,906.53 × 71,990.33
  4. Step 4: Simplify right side
    105,254.60x = 11,367,742,414.32
  5. Step 5: Solve for x
    x = 11,367,742,414.32/105,254.60
  6. Step 6: Final answer
    x = 108,002.34

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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.