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Finding the Fourth Proportional to 142,495.20, 213,742.80 and 37,324.80

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Solution

The fourth proportional to 142,495.20, 213,742.80 and 37,324.80 is: 55,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,495.20 : 213,742.80 = 37,324.80 : x
  2. Step 2: Convert to fraction form
    142,495.20/213,742.80 = 37,324.80/x
  3. Step 3: Cross multiply
    142,495.20x = 213,742.80 × 37,324.80
  4. Step 4: Simplify right side
    142,495.20x = 7,977,907,261.44
  5. Step 5: Solve for x
    x = 7,977,907,261.44/142,495.20
  6. Step 6: Final answer
    x = 55,987.20

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1.5x scale

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.