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Finding the Fourth Proportional to 255,814.40, 383,502.78 and 98,156

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Solution

The fourth proportional to 255,814.40, 383,502.78 and 98,156 is: 147,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,814.40 : 383,502.78 = 98,156 : x
  2. Step 2: Convert to fraction form
    255,814.40/383,502.78 = 98,156/x
  3. Step 3: Cross multiply
    255,814.40x = 383,502.78 × 98,156
  4. Step 4: Simplify right side
    255,814.40x = 37,643,098,873.68
  5. Step 5: Solve for x
    x = 37,643,098,873.68/255,814.40
  6. Step 6: Final answer
    x = 147,150.04

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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.