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Finding the Fourth Proportional to 212,690.34, 319,036.68 and 54,907.92

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Solution

The fourth proportional to 212,690.34, 319,036.68 and 54,907.92 is: 82,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,690.34 : 319,036.68 = 54,907.92 : x
  2. Step 2: Convert to fraction form
    212,690.34/319,036.68 = 54,907.92/x
  3. Step 3: Cross multiply
    212,690.34x = 319,036.68 × 54,907.92
  4. Step 4: Simplify right side
    212,690.34x = 17,517,640,502.51
  5. Step 5: Solve for x
    x = 17,517,640,502.51/212,690.34
  6. Step 6: Final answer
    x = 82,362.18

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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.