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Finding the Fourth Proportional to 255,696.69, 383,508.05 and 78,156.03

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Solution

The fourth proportional to 255,696.69, 383,508.05 and 78,156.03 is: 117,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,696.69 : 383,508.05 = 78,156.03 : x
  2. Step 2: Convert to fraction form
    255,696.69/383,508.05 = 78,156.03/x
  3. Step 3: Cross multiply
    255,696.69x = 383,508.05 × 78,156.03
  4. Step 4: Simplify right side
    255,696.69x = 29,973,466,661.04
  5. Step 5: Solve for x
    x = 29,973,466,661.04/255,696.69
  6. Step 6: Final answer
    x = 117,222.74

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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.