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Finding the Fourth Proportional to 106,394.47, 159,615.05 and 31,520.47

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Solution

The fourth proportional to 106,394.47, 159,615.05 and 31,520.47 is: 47,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.47 : 159,615.05 = 31,520.47 : x
  2. Step 2: Convert to fraction form
    106,394.47/159,615.05 = 31,520.47/x
  3. Step 3: Cross multiply
    106,394.47x = 159,615.05 × 31,520.47
  4. Step 4: Simplify right side
    106,394.47x = 5,031,141,395.07
  5. Step 5: Solve for x
    x = 5,031,141,395.07/106,394.47
  6. Step 6: Final answer
    x = 47,287.62

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1.5x scale

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.