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Finding the Fourth Proportional to 212,810.82, 319,234.68 and 61,008.59

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Solution

The fourth proportional to 212,810.82, 319,234.68 and 61,008.59 is: 91,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,810.82 : 319,234.68 = 61,008.59 : x
  2. Step 2: Convert to fraction form
    212,810.82/319,234.68 = 61,008.59/x
  3. Step 3: Cross multiply
    212,810.82x = 319,234.68 × 61,008.59
  4. Step 4: Simplify right side
    212,810.82x = 19,476,056,569.63
  5. Step 5: Solve for x
    x = 19,476,056,569.63/212,810.82
  6. Step 6: Final answer
    x = 91,518.17

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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.