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Finding the Fourth Proportional to 103,358.69, 155,038.07 and 33,238

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Solution

The fourth proportional to 103,358.69, 155,038.07 and 33,238 is: 49,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,358.69 : 155,038.07 = 33,238 : x
  2. Step 2: Convert to fraction form
    103,358.69/155,038.07 = 33,238/x
  3. Step 3: Cross multiply
    103,358.69x = 155,038.07 × 33,238
  4. Step 4: Simplify right side
    103,358.69x = 5,153,155,370.66
  5. Step 5: Solve for x
    x = 5,153,155,370.66/103,358.69
  6. Step 6: Final answer
    x = 49,857.01

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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.