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Finding the Fourth Proportional to 160,702, 240,739.20 and 76,342.08

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Solution

The fourth proportional to 160,702, 240,739.20 and 76,342.08 is: 114,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,702 : 240,739.20 = 76,342.08 : x
  2. Step 2: Convert to fraction form
    160,702/240,739.20 = 76,342.08/x
  3. Step 3: Cross multiply
    160,702x = 240,739.20 × 76,342.08
  4. Step 4: Simplify right side
    160,702x = 18,378,531,265.54
  5. Step 5: Solve for x
    x = 18,378,531,265.54/160,702
  6. Step 6: Final answer
    x = 114,364.05

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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.