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Finding the Fourth Proportional to 189,287.64, 283,650.95 and 76,831.02

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Solution

The fourth proportional to 189,287.64, 283,650.95 and 76,831.02 is: 115,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,287.64 : 283,650.95 = 76,831.02 : x
  2. Step 2: Convert to fraction form
    189,287.64/283,650.95 = 76,831.02/x
  3. Step 3: Cross multiply
    189,287.64x = 283,650.95 × 76,831.02
  4. Step 4: Simplify right side
    189,287.64x = 21,793,191,428.31
  5. Step 5: Solve for x
    x = 21,793,191,428.31/189,287.64
  6. Step 6: Final answer
    x = 115,132.67

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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.