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Finding the Fourth Proportional to 189,280.80, 283,921.20 and 142,041.60

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Solution

The fourth proportional to 189,280.80, 283,921.20 and 142,041.60 is: 213,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,280.80 : 283,921.20 = 142,041.60 : x
  2. Step 2: Convert to fraction form
    189,280.80/283,921.20 = 142,041.60/x
  3. Step 3: Cross multiply
    189,280.80x = 283,921.20 × 142,041.60
  4. Step 4: Simplify right side
    189,280.80x = 40,328,621,521.92
  5. Step 5: Solve for x
    x = 40,328,621,521.92/189,280.80
  6. Step 6: Final answer
    x = 213,062.40

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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.