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Finding the Fourth Proportional to 106,449.83, 159,355.76 and 102,664.61

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Solution

The fourth proportional to 106,449.83, 159,355.76 and 102,664.61 is: 153,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,449.83 : 159,355.76 = 102,664.61 : x
  2. Step 2: Convert to fraction form
    106,449.83/159,355.76 = 102,664.61/x
  3. Step 3: Cross multiply
    106,449.83x = 159,355.76 × 102,664.61
  4. Step 4: Simplify right side
    106,449.83x = 16,360,197,135.51
  5. Step 5: Solve for x
    x = 16,360,197,135.51/106,449.83
  6. Step 6: Final answer
    x = 153,689.27

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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.