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Finding the Fourth Proportional to 213,208.68, 319,774.52 and 55,427.42

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Solution

The fourth proportional to 213,208.68, 319,774.52 and 55,427.42 is: 83,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,208.68 : 319,774.52 = 55,427.42 : x
  2. Step 2: Convert to fraction form
    213,208.68/319,774.52 = 55,427.42/x
  3. Step 3: Cross multiply
    213,208.68x = 319,774.52 × 55,427.42
  4. Step 4: Simplify right side
    213,208.68x = 17,724,276,625.34
  5. Step 5: Solve for x
    x = 17,724,276,625.34/213,208.68
  6. Step 6: Final answer
    x = 83,131.12

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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.