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Finding the Fourth Proportional to 255,808.40, 383,493.80 and 98,150

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Solution

The fourth proportional to 255,808.40, 383,493.80 and 98,150 is: 147,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.40 : 383,493.80 = 98,150 : x
  2. Step 2: Convert to fraction form
    255,808.40/383,493.80 = 98,150/x
  3. Step 3: Cross multiply
    255,808.40x = 383,493.80 × 98,150
  4. Step 4: Simplify right side
    255,808.40x = 37,639,916,470
  5. Step 5: Solve for x
    x = 37,639,916,470/255,808.40
  6. Step 6: Final answer
    x = 147,141.05

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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.