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Finding the Fourth Proportional to 200,659.20, 300,643.20 and 105,748.80

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Solution

The fourth proportional to 200,659.20, 300,643.20 and 105,748.80 is: 158,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659.20 : 300,643.20 = 105,748.80 : x
  2. Step 2: Convert to fraction form
    200,659.20/300,643.20 = 105,748.80/x
  3. Step 3: Cross multiply
    200,659.20x = 300,643.20 × 105,748.80
  4. Step 4: Simplify right side
    200,659.20x = 31,792,657,628.16
  5. Step 5: Solve for x
    x = 31,792,657,628.16/200,659.20
  6. Step 6: Final answer
    x = 158,441.07

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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.