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Finding the Fourth Proportional to 212,855.47, 319,190.67 and 61,019.11

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Solution

The fourth proportional to 212,855.47, 319,190.67 and 61,019.11 is: 91,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,855.47 : 319,190.67 = 61,019.11 : x
  2. Step 2: Convert to fraction form
    212,855.47/319,190.67 = 61,019.11/x
  3. Step 3: Cross multiply
    212,855.47x = 319,190.67 × 61,019.11
  4. Step 4: Simplify right side
    212,855.47x = 19,476,730,603.70
  5. Step 5: Solve for x
    x = 19,476,730,603.70/212,855.47
  6. Step 6: Final answer
    x = 91,502.14

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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.