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Finding the Fourth Proportional to 189,007.50, 283,412.81 and 89,140.88

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Solution

The fourth proportional to 189,007.50, 283,412.81 and 89,140.88 is: 133,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,007.50 : 283,412.81 = 89,140.88 : x
  2. Step 2: Convert to fraction form
    189,007.50/283,412.81 = 89,140.88/x
  3. Step 3: Cross multiply
    189,007.50x = 283,412.81 × 89,140.88
  4. Step 4: Simplify right side
    189,007.50x = 25,263,668,218.06
  5. Step 5: Solve for x
    x = 25,263,668,218.06/189,007.50
  6. Step 6: Final answer
    x = 133,664.90

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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.