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Finding the Fourth Proportional to 115,730.88, 159,708.64 and 65,429.44

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Solution

The fourth proportional to 115,730.88, 159,708.64 and 65,429.44 is: 90,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,730.88 : 159,708.64 = 65,429.44 : x
  2. Step 2: Convert to fraction form
    115,730.88/159,708.64 = 65,429.44/x
  3. Step 3: Cross multiply
    115,730.88x = 159,708.64 × 65,429.44
  4. Step 4: Simplify right side
    115,730.88x = 10,449,646,878.36
  5. Step 5: Solve for x
    x = 10,449,646,878.36/115,730.88
  6. Step 6: Final answer
    x = 90,292.64

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1.5x scale

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.