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Finding the Fourth Proportional to 89,102.31, 133,641 and 22,538.40

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Solution

The fourth proportional to 89,102.31, 133,641 and 22,538.40 is: 33,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,102.31 : 133,641 = 22,538.40 : x
  2. Step 2: Convert to fraction form
    89,102.31/133,641 = 22,538.40/x
  3. Step 3: Cross multiply
    89,102.31x = 133,641 × 22,538.40
  4. Step 4: Simplify right side
    89,102.31x = 3,012,054,314.40
  5. Step 5: Solve for x
    x = 3,012,054,314.40/89,102.31
  6. Step 6: Final answer
    x = 33,804.45

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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.