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Finding the Fourth Proportional to 238,128.80, 357,193.21 and 111,856.22

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Solution

The fourth proportional to 238,128.80, 357,193.21 and 111,856.22 is: 167,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,128.80 : 357,193.21 = 111,856.22 : x
  2. Step 2: Convert to fraction form
    238,128.80/357,193.21 = 111,856.22/x
  3. Step 3: Cross multiply
    238,128.80x = 357,193.21 × 111,856.22
  4. Step 4: Simplify right side
    238,128.80x = 39,954,282,280.27
  5. Step 5: Solve for x
    x = 39,954,282,280.27/238,128.80
  6. Step 6: Final answer
    x = 167,784.33

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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.