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Finding the Fourth Proportional to 245,196, 367,794 and 78,984

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Solution

The fourth proportional to 245,196, 367,794 and 78,984 is: 118,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,196 : 367,794 = 78,984 : x
  2. Step 2: Convert to fraction form
    245,196/367,794 = 78,984/x
  3. Step 3: Cross multiply
    245,196x = 367,794 × 78,984
  4. Step 4: Simplify right side
    245,196x = 29,049,841,296
  5. Step 5: Solve for x
    x = 29,049,841,296/245,196
  6. Step 6: Final answer
    x = 118,476

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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.