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Finding the Fourth Proportional to 201,629.60, 302,444.40 and 130,770.80

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Solution

The fourth proportional to 201,629.60, 302,444.40 and 130,770.80 is: 196,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629.60 : 302,444.40 = 130,770.80 : x
  2. Step 2: Convert to fraction form
    201,629.60/302,444.40 = 130,770.80/x
  3. Step 3: Cross multiply
    201,629.60x = 302,444.40 × 130,770.80
  4. Step 4: Simplify right side
    201,629.60x = 39,550,896,143.52
  5. Step 5: Solve for x
    x = 39,550,896,143.52/201,629.60
  6. Step 6: Final answer
    x = 196,156.20

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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.