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Finding the Fourth Proportional to 154,189.54, 212,826.63 and 89,673.90

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Solution

The fourth proportional to 154,189.54, 212,826.63 and 89,673.90 is: 123,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,189.54 : 212,826.63 = 89,673.90 : x
  2. Step 2: Convert to fraction form
    154,189.54/212,826.63 = 89,673.90/x
  3. Step 3: Cross multiply
    154,189.54x = 212,826.63 × 89,673.90
  4. Step 4: Simplify right side
    154,189.54x = 19,084,993,935.96
  5. Step 5: Solve for x
    x = 19,084,993,935.96/154,189.54
  6. Step 6: Final answer
    x = 123,776.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.