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Finding the Fourth Proportional to 255,308.50, 383,137.71 and 89,096.50

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Solution

The fourth proportional to 255,308.50, 383,137.71 and 89,096.50 is: 133,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,308.50 : 383,137.71 = 89,096.50 : x
  2. Step 2: Convert to fraction form
    255,308.50/383,137.71 = 89,096.50/x
  3. Step 3: Cross multiply
    255,308.50x = 383,137.71 × 89,096.50
  4. Step 4: Simplify right side
    255,308.50x = 34,136,228,979.02
  5. Step 5: Solve for x
    x = 34,136,228,979.02/255,308.50
  6. Step 6: Final answer
    x = 133,705.81

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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.