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Finding the Fourth Proportional to 142,615.80, 213,923.70 and 140,542.20

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Solution

The fourth proportional to 142,615.80, 213,923.70 and 140,542.20 is: 210,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,615.80 : 213,923.70 = 140,542.20 : x
  2. Step 2: Convert to fraction form
    142,615.80/213,923.70 = 140,542.20/x
  3. Step 3: Cross multiply
    142,615.80x = 213,923.70 × 140,542.20
  4. Step 4: Simplify right side
    142,615.80x = 30,065,307,430.14
  5. Step 5: Solve for x
    x = 30,065,307,430.14/142,615.80
  6. Step 6: Final answer
    x = 210,813.30

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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.