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Finding the Fourth Proportional to 103,317.76, 154,982.40 and 29,440

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Solution

The fourth proportional to 103,317.76, 154,982.40 and 29,440 is: 44,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,317.76 : 154,982.40 = 29,440 : x
  2. Step 2: Convert to fraction form
    103,317.76/154,982.40 = 29,440/x
  3. Step 3: Cross multiply
    103,317.76x = 154,982.40 × 29,440
  4. Step 4: Simplify right side
    103,317.76x = 4,562,681,856
  5. Step 5: Solve for x
    x = 4,562,681,856/103,317.76
  6. Step 6: Final answer
    x = 44,161.64

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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.