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Finding the Fourth Proportional to 70,842.80, 106,275.71 and 20,927.92

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Solution

The fourth proportional to 70,842.80, 106,275.71 and 20,927.92 is: 31,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.80 : 106,275.71 = 20,927.92 : x
  2. Step 2: Convert to fraction form
    70,842.80/106,275.71 = 20,927.92/x
  3. Step 3: Cross multiply
    70,842.80x = 106,275.71 × 20,927.92
  4. Step 4: Simplify right side
    70,842.80x = 2,224,129,556.82
  5. Step 5: Solve for x
    x = 2,224,129,556.82/70,842.80
  6. Step 6: Final answer
    x = 31,395.28

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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.