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Finding the Fourth Proportional to 102,831.32, 154,246.68 and 36,255.40

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Solution

The fourth proportional to 102,831.32, 154,246.68 and 36,255.40 is: 54,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,831.32 : 154,246.68 = 36,255.40 : x
  2. Step 2: Convert to fraction form
    102,831.32/154,246.68 = 36,255.40/x
  3. Step 3: Cross multiply
    102,831.32x = 154,246.68 × 36,255.40
  4. Step 4: Simplify right side
    102,831.32x = 5,592,275,082.07
  5. Step 5: Solve for x
    x = 5,592,275,082.07/102,831.32
  6. Step 6: Final answer
    x = 54,382.99

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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.