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Finding the Fourth Proportional to 149,224.32, 205,866.72 and 98,835.84

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Solution

The fourth proportional to 149,224.32, 205,866.72 and 98,835.84 is: 136,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,224.32 : 205,866.72 = 98,835.84 : x
  2. Step 2: Convert to fraction form
    149,224.32/205,866.72 = 98,835.84/x
  3. Step 3: Cross multiply
    149,224.32x = 205,866.72 × 98,835.84
  4. Step 4: Simplify right side
    149,224.32x = 20,347,010,199.24
  5. Step 5: Solve for x
    x = 20,347,010,199.24/149,224.32
  6. Step 6: Final answer
    x = 136,351.84

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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.