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Finding the Fourth Proportional to 210,246, 315,415.08 and 78,918

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Solution

The fourth proportional to 210,246, 315,415.08 and 78,918 is: 118,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,246 : 315,415.08 = 78,918 : x
  2. Step 2: Convert to fraction form
    210,246/315,415.08 = 78,918/x
  3. Step 3: Cross multiply
    210,246x = 315,415.08 × 78,918
  4. Step 4: Simplify right side
    210,246x = 24,891,927,283.44
  5. Step 5: Solve for x
    x = 24,891,927,283.44/210,246
  6. Step 6: Final answer
    x = 118,394.30

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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.