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Finding the Fourth Proportional to 255,746.70, 383,605.92 and 78,253.74

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Solution

The fourth proportional to 255,746.70, 383,605.92 and 78,253.74 is: 117,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746.70 : 383,605.92 = 78,253.74 : x
  2. Step 2: Convert to fraction form
    255,746.70/383,605.92 = 78,253.74/x
  3. Step 3: Cross multiply
    255,746.70x = 383,605.92 × 78,253.74
  4. Step 4: Simplify right side
    255,746.70x = 30,018,597,926.14
  5. Step 5: Solve for x
    x = 30,018,597,926.14/255,746.70
  6. Step 6: Final answer
    x = 117,376.29

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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.