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Finding the Fourth Proportional to 70,782.81, 106,100.18 and 26,390.25

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Solution

The fourth proportional to 70,782.81, 106,100.18 and 26,390.25 is: 39,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.81 : 106,100.18 = 26,390.25 : x
  2. Step 2: Convert to fraction form
    70,782.81/106,100.18 = 26,390.25/x
  3. Step 3: Cross multiply
    70,782.81x = 106,100.18 × 26,390.25
  4. Step 4: Simplify right side
    70,782.81x = 2,800,010,143.29
  5. Step 5: Solve for x
    x = 2,800,010,143.29/70,782.81
  6. Step 6: Final answer
    x = 39,557.77

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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.