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Finding the Fourth Proportional to 255,219, 382,831.74 and 89,007

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Solution

The fourth proportional to 255,219, 382,831.74 and 89,007 is: 133,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,219 : 382,831.74 = 89,007 : x
  2. Step 2: Convert to fraction form
    255,219/382,831.74 = 89,007/x
  3. Step 3: Cross multiply
    255,219x = 382,831.74 × 89,007
  4. Step 4: Simplify right side
    255,219x = 34,074,704,682.18
  5. Step 5: Solve for x
    x = 34,074,704,682.18/255,219
  6. Step 6: Final answer
    x = 133,511.63

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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.