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Finding the Fourth Proportional to 255,820.40, 383,511.78 and 98,162

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Solution

The fourth proportional to 255,820.40, 383,511.78 and 98,162 is: 147,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,820.40 : 383,511.78 = 98,162 : x
  2. Step 2: Convert to fraction form
    255,820.40/383,511.78 = 98,162/x
  3. Step 3: Cross multiply
    255,820.40x = 383,511.78 × 98,162
  4. Step 4: Simplify right side
    255,820.40x = 37,646,283,348.36
  5. Step 5: Solve for x
    x = 37,646,283,348.36/255,820.40
  6. Step 6: Final answer
    x = 147,159.04

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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.