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Finding the Fourth Proportional to 201,043.60, 301,219.80 and 130,886.80

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Solution

The fourth proportional to 201,043.60, 301,219.80 and 130,886.80 is: 196,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043.60 : 301,219.80 = 130,886.80 : x
  2. Step 2: Convert to fraction form
    201,043.60/301,219.80 = 130,886.80/x
  3. Step 3: Cross multiply
    201,043.60x = 301,219.80 × 130,886.80
  4. Step 4: Simplify right side
    201,043.60x = 39,425,695,718.64
  5. Step 5: Solve for x
    x = 39,425,695,718.64/201,043.60
  6. Step 6: Final answer
    x = 196,105.20

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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.