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Finding the Fourth Proportional to 189,458.20, 283,531.20 and 130,409.20

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Solution

The fourth proportional to 189,458.20, 283,531.20 and 130,409.20 is: 195,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,458.20 : 283,531.20 = 130,409.20 : x
  2. Step 2: Convert to fraction form
    189,458.20/283,531.20 = 130,409.20/x
  3. Step 3: Cross multiply
    189,458.20x = 283,531.20 × 130,409.20
  4. Step 4: Simplify right side
    189,458.20x = 36,975,076,967.04
  5. Step 5: Solve for x
    x = 36,975,076,967.04/189,458.20
  6. Step 6: Final answer
    x = 195,162.19

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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.