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Finding the Fourth Proportional to 142,090.80, 213,136.20 and 119,281.20

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Solution

The fourth proportional to 142,090.80, 213,136.20 and 119,281.20 is: 178,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,090.80 : 213,136.20 = 119,281.20 : x
  2. Step 2: Convert to fraction form
    142,090.80/213,136.20 = 119,281.20/x
  3. Step 3: Cross multiply
    142,090.80x = 213,136.20 × 119,281.20
  4. Step 4: Simplify right side
    142,090.80x = 25,423,141,699.44
  5. Step 5: Solve for x
    x = 25,423,141,699.44/142,090.80
  6. Step 6: Final answer
    x = 178,921.80

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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.