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Finding the Fourth Proportional to 255,888, 383,832 and 68,899.50

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Solution

The fourth proportional to 255,888, 383,832 and 68,899.50 is: 103,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,888 : 383,832 = 68,899.50 : x
  2. Step 2: Convert to fraction form
    255,888/383,832 = 68,899.50/x
  3. Step 3: Cross multiply
    255,888x = 383,832 × 68,899.50
  4. Step 4: Simplify right side
    255,888x = 26,445,832,884
  5. Step 5: Solve for x
    x = 26,445,832,884/255,888
  6. Step 6: Final answer
    x = 103,349.25

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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.