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Finding the Fourth Proportional to 255,371.40, 383,119.20 and 77,882.04

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Solution

The fourth proportional to 255,371.40, 383,119.20 and 77,882.04 is: 116,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,371.40 : 383,119.20 = 77,882.04 : x
  2. Step 2: Convert to fraction form
    255,371.40/383,119.20 = 77,882.04/x
  3. Step 3: Cross multiply
    255,371.40x = 383,119.20 × 77,882.04
  4. Step 4: Simplify right side
    255,371.40x = 29,838,104,859.17
  5. Step 5: Solve for x
    x = 29,838,104,859.17/255,371.40
  6. Step 6: Final answer
    x = 116,842.00

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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.