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Finding the Fourth Proportional to 70,438.43, 105,656.11 and 17,130.71

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Solution

The fourth proportional to 70,438.43, 105,656.11 and 17,130.71 is: 25,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438.43 : 105,656.11 = 17,130.71 : x
  2. Step 2: Convert to fraction form
    70,438.43/105,656.11 = 17,130.71/x
  3. Step 3: Cross multiply
    70,438.43x = 105,656.11 × 17,130.71
  4. Step 4: Simplify right side
    70,438.43x = 1,809,964,180.14
  5. Step 5: Solve for x
    x = 1,809,964,180.14/70,438.43
  6. Step 6: Final answer
    x = 25,695.69

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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.