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Finding the Fourth Proportional to 212,955.68, 319,412.26 and 86,603.38

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Solution

The fourth proportional to 212,955.68, 319,412.26 and 86,603.38 is: 129,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,955.68 : 319,412.26 = 86,603.38 : x
  2. Step 2: Convert to fraction form
    212,955.68/319,412.26 = 86,603.38/x
  3. Step 3: Cross multiply
    212,955.68x = 319,412.26 × 86,603.38
  4. Step 4: Simplify right side
    212,955.68x = 27,662,180,639.16
  5. Step 5: Solve for x
    x = 27,662,180,639.16/212,955.68
  6. Step 6: Final answer
    x = 129,896.42

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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.