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Finding the Fourth Proportional to 255,920.58, 383,937.03 and 78,440.94

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Solution

The fourth proportional to 255,920.58, 383,937.03 and 78,440.94 is: 117,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920.58 : 383,937.03 = 78,440.94 : x
  2. Step 2: Convert to fraction form
    255,920.58/383,937.03 = 78,440.94/x
  3. Step 3: Cross multiply
    255,920.58x = 383,937.03 × 78,440.94
  4. Step 4: Simplify right side
    255,920.58x = 30,116,381,534.01
  5. Step 5: Solve for x
    x = 30,116,381,534.01/255,920.58
  6. Step 6: Final answer
    x = 117,678.62

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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.