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Finding the Fourth Proportional to 142,574.40, 213,861.60 and 141,755.20

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Solution

The fourth proportional to 142,574.40, 213,861.60 and 141,755.20 is: 212,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.40 : 213,861.60 = 141,755.20 : x
  2. Step 2: Convert to fraction form
    142,574.40/213,861.60 = 141,755.20/x
  3. Step 3: Cross multiply
    142,574.40x = 213,861.60 × 141,755.20
  4. Step 4: Simplify right side
    142,574.40x = 30,315,993,880.32
  5. Step 5: Solve for x
    x = 30,315,993,880.32/142,574.40
  6. Step 6: Final answer
    x = 212,632.80

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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.