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Finding the Fourth Proportional to 85,409.93, 128,131.32 and 29,258.71

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Solution

The fourth proportional to 85,409.93, 128,131.32 and 29,258.71 is: 43,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.93 : 128,131.32 = 29,258.71 : x
  2. Step 2: Convert to fraction form
    85,409.93/128,131.32 = 29,258.71/x
  3. Step 3: Cross multiply
    85,409.93x = 128,131.32 × 29,258.71
  4. Step 4: Simplify right side
    85,409.93x = 3,748,957,133.80
  5. Step 5: Solve for x
    x = 3,748,957,133.80/85,409.93
  6. Step 6: Final answer
    x = 43,893.69

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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.