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Finding the Fourth Proportional to 150,720.64, 207,986.24 and 83,648.64

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Solution

The fourth proportional to 150,720.64, 207,986.24 and 83,648.64 is: 115,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720.64 : 207,986.24 = 83,648.64 : x
  2. Step 2: Convert to fraction form
    150,720.64/207,986.24 = 83,648.64/x
  3. Step 3: Cross multiply
    150,720.64x = 207,986.24 × 83,648.64
  4. Step 4: Simplify right side
    150,720.64x = 17,397,766,114.71
  5. Step 5: Solve for x
    x = 17,397,766,114.71/150,720.64
  6. Step 6: Final answer
    x = 115,430.55

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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.