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Finding the Fourth Proportional to 170,749.60, 256,201.20 and 77,207.20

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Solution

The fourth proportional to 170,749.60, 256,201.20 and 77,207.20 is: 115,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,749.60 : 256,201.20 = 77,207.20 : x
  2. Step 2: Convert to fraction form
    170,749.60/256,201.20 = 77,207.20/x
  3. Step 3: Cross multiply
    170,749.60x = 256,201.20 × 77,207.20
  4. Step 4: Simplify right side
    170,749.60x = 19,780,577,288.64
  5. Step 5: Solve for x
    x = 19,780,577,288.64/170,749.60
  6. Step 6: Final answer
    x = 115,845.53

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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.