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Finding the Fourth Proportional to 106,489.60, 146,955.68 and 58,742.96

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Solution

The fourth proportional to 106,489.60, 146,955.68 and 58,742.96 is: 81,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.60 : 146,955.68 = 58,742.96 : x
  2. Step 2: Convert to fraction form
    106,489.60/146,955.68 = 58,742.96/x
  3. Step 3: Cross multiply
    106,489.60x = 146,955.68 × 58,742.96
  4. Step 4: Simplify right side
    106,489.60x = 8,632,611,632.01
  5. Step 5: Solve for x
    x = 8,632,611,632.01/106,489.60
  6. Step 6: Final answer
    x = 81,065.30

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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.