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Finding the Fourth Proportional to 103,531.49, 155,494.08 and 64,362.32

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Solution

The fourth proportional to 103,531.49, 155,494.08 and 64,362.32 is: 96,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,531.49 : 155,494.08 = 64,362.32 : x
  2. Step 2: Convert to fraction form
    103,531.49/155,494.08 = 64,362.32/x
  3. Step 3: Cross multiply
    103,531.49x = 155,494.08 × 64,362.32
  4. Step 4: Simplify right side
    103,531.49x = 10,007,959,735.07
  5. Step 5: Solve for x
    x = 10,007,959,735.07/103,531.49
  6. Step 6: Final answer
    x = 96,665.85

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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.