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Finding the Fourth Proportional to 255,813.40, 383,501.28 and 98,155

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Solution

The fourth proportional to 255,813.40, 383,501.28 and 98,155 is: 147,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,813.40 : 383,501.28 = 98,155 : x
  2. Step 2: Convert to fraction form
    255,813.40/383,501.28 = 98,155/x
  3. Step 3: Cross multiply
    255,813.40x = 383,501.28 × 98,155
  4. Step 4: Simplify right side
    255,813.40x = 37,642,568,138.40
  5. Step 5: Solve for x
    x = 37,642,568,138.40/255,813.40
  6. Step 6: Final answer
    x = 147,148.54

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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.