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Finding the Fourth Proportional to 105,258.64, 145,321.28 and 68,499.87

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Solution

The fourth proportional to 105,258.64, 145,321.28 and 68,499.87 is: 94,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,258.64 : 145,321.28 = 68,499.87 : x
  2. Step 2: Convert to fraction form
    105,258.64/145,321.28 = 68,499.87/x
  3. Step 3: Cross multiply
    105,258.64x = 145,321.28 × 68,499.87
  4. Step 4: Simplify right side
    105,258.64x = 9,954,488,788.23
  5. Step 5: Solve for x
    x = 9,954,488,788.23/105,258.64
  6. Step 6: Final answer
    x = 94,571.70

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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.