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Finding the Fourth Proportional to 115,830.21, 159,832.20 and 64,845.73

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Solution

The fourth proportional to 115,830.21, 159,832.20 and 64,845.73 is: 89,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,830.21 : 159,832.20 = 64,845.73 : x
  2. Step 2: Convert to fraction form
    115,830.21/159,832.20 = 64,845.73/x
  3. Step 3: Cross multiply
    115,830.21x = 159,832.20 × 64,845.73
  4. Step 4: Simplify right side
    115,830.21x = 10,364,435,686.51
  5. Step 5: Solve for x
    x = 10,364,435,686.51/115,830.21
  6. Step 6: Final answer
    x = 89,479.56

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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.