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Finding the Fourth Proportional to 106,446, 159,650.64 and 31,565.28

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Solution

The fourth proportional to 106,446, 159,650.64 and 31,565.28 is: 47,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446 : 159,650.64 = 31,565.28 : x
  2. Step 2: Convert to fraction form
    106,446/159,650.64 = 31,565.28/x
  3. Step 3: Cross multiply
    106,446x = 159,650.64 × 31,565.28
  4. Step 4: Simplify right side
    106,446x = 5,039,417,153.78
  5. Step 5: Solve for x
    x = 5,039,417,153.78/106,446
  6. Step 6: Final answer
    x = 47,342.48

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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.