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Finding the Fourth Proportional to 189,145.60, 283,718.40 and 142,489.60

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Solution

The fourth proportional to 189,145.60, 283,718.40 and 142,489.60 is: 213,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,145.60 : 283,718.40 = 142,489.60 : x
  2. Step 2: Convert to fraction form
    189,145.60/283,718.40 = 142,489.60/x
  3. Step 3: Cross multiply
    189,145.60x = 283,718.40 × 142,489.60
  4. Step 4: Simplify right side
    189,145.60x = 40,426,921,328.64
  5. Step 5: Solve for x
    x = 40,426,921,328.64/189,145.60
  6. Step 6: Final answer
    x = 213,734.40

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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.