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Finding the Fourth Proportional to 106,407, 159,612.93 and 31,525.74

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Solution

The fourth proportional to 106,407, 159,612.93 and 31,525.74 is: 47,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,407 : 159,612.93 = 31,525.74 : x
  2. Step 2: Convert to fraction form
    106,407/159,612.93 = 31,525.74/x
  3. Step 3: Cross multiply
    106,407x = 159,612.93 × 31,525.74
  4. Step 4: Simplify right side
    106,407x = 5,031,915,731.82
  5. Step 5: Solve for x
    x = 5,031,915,731.82/106,407
  6. Step 6: Final answer
    x = 47,289.33

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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.