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Finding the Fourth Proportional to 106,104.58, 159,057.93 and 72,840.31

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Solution

The fourth proportional to 106,104.58, 159,057.93 and 72,840.31 is: 109,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,104.58 : 159,057.93 = 72,840.31 : x
  2. Step 2: Convert to fraction form
    106,104.58/159,057.93 = 72,840.31/x
  3. Step 3: Cross multiply
    106,104.58x = 159,057.93 × 72,840.31
  4. Step 4: Simplify right side
    106,104.58x = 11,585,828,929.16
  5. Step 5: Solve for x
    x = 11,585,828,929.16/106,104.58
  6. Step 6: Final answer
    x = 109,192.54

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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.