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Finding the Fourth Proportional to 148,726, 205,416.84 and 100,896.32

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Solution

The fourth proportional to 148,726, 205,416.84 and 100,896.32 is: 139,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,726 : 205,416.84 = 100,896.32 : x
  2. Step 2: Convert to fraction form
    148,726/205,416.84 = 100,896.32/x
  3. Step 3: Cross multiply
    148,726x = 205,416.84 × 100,896.32
  4. Step 4: Simplify right side
    148,726x = 20,725,803,222.03
  5. Step 5: Solve for x
    x = 20,725,803,222.03/148,726
  6. Step 6: Final answer
    x = 139,355.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.