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Finding the Fourth Proportional to 70,129.68, 105,195.45 and 23,382.57

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Solution

The fourth proportional to 70,129.68, 105,195.45 and 23,382.57 is: 35,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.68 : 105,195.45 = 23,382.57 : x
  2. Step 2: Convert to fraction form
    70,129.68/105,195.45 = 23,382.57/x
  3. Step 3: Cross multiply
    70,129.68x = 105,195.45 × 23,382.57
  4. Step 4: Simplify right side
    70,129.68x = 2,459,739,973.31
  5. Step 5: Solve for x
    x = 2,459,739,973.31/70,129.68
  6. Step 6: Final answer
    x = 35,074.17

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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.