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Finding the Fourth Proportional to 255,756, 383,689.38 and 97,984.46

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Solution

The fourth proportional to 255,756, 383,689.38 and 97,984.46 is: 146,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,756 : 383,689.38 = 97,984.46 : x
  2. Step 2: Convert to fraction form
    255,756/383,689.38 = 97,984.46/x
  3. Step 3: Cross multiply
    255,756x = 383,689.38 × 97,984.46
  4. Step 4: Simplify right side
    255,756x = 37,595,596,707.03
  5. Step 5: Solve for x
    x = 37,595,596,707.03/255,756
  6. Step 6: Final answer
    x = 146,997.91

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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.