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Finding the Fourth Proportional to 103,224.90, 154,837.35 and 82,488.90

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Solution

The fourth proportional to 103,224.90, 154,837.35 and 82,488.90 is: 123,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,224.90 : 154,837.35 = 82,488.90 : x
  2. Step 2: Convert to fraction form
    103,224.90/154,837.35 = 82,488.90/x
  3. Step 3: Cross multiply
    103,224.90x = 154,837.35 × 82,488.90
  4. Step 4: Simplify right side
    103,224.90x = 12,772,362,680.42
  5. Step 5: Solve for x
    x = 12,772,362,680.42/103,224.90
  6. Step 6: Final answer
    x = 123,733.35

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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.