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Finding the Fourth Proportional to 103,617.36, 155,201.40 and 64,184.40

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Solution

The fourth proportional to 103,617.36, 155,201.40 and 64,184.40 is: 96,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.36 : 155,201.40 = 64,184.40 : x
  2. Step 2: Convert to fraction form
    103,617.36/155,201.40 = 64,184.40/x
  3. Step 3: Cross multiply
    103,617.36x = 155,201.40 × 64,184.40
  4. Step 4: Simplify right side
    103,617.36x = 9,961,508,738.16
  5. Step 5: Solve for x
    x = 9,961,508,738.16/103,617.36
  6. Step 6: Final answer
    x = 96,137.45

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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.