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Finding the Fourth Proportional to 212,681.82, 319,054.44 and 75,894.27

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Solution

The fourth proportional to 212,681.82, 319,054.44 and 75,894.27 is: 113,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,681.82 : 319,054.44 = 75,894.27 : x
  2. Step 2: Convert to fraction form
    212,681.82/319,054.44 = 75,894.27/x
  3. Step 3: Cross multiply
    212,681.82x = 319,054.44 × 75,894.27
  4. Step 4: Simplify right side
    212,681.82x = 24,214,403,814.06
  5. Step 5: Solve for x
    x = 24,214,403,814.06/212,681.82
  6. Step 6: Final answer
    x = 113,852.72

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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.