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Finding the Fourth Proportional to 76,954.25, 106,191.41 and 45,117

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Solution

The fourth proportional to 76,954.25, 106,191.41 and 45,117 is: 62,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.25 : 106,191.41 = 45,117 : x
  2. Step 2: Convert to fraction form
    76,954.25/106,191.41 = 45,117/x
  3. Step 3: Cross multiply
    76,954.25x = 106,191.41 × 45,117
  4. Step 4: Simplify right side
    76,954.25x = 4,791,037,619.39
  5. Step 5: Solve for x
    x = 4,791,037,619.39/76,954.25
  6. Step 6: Final answer
    x = 62,258.26

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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.