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Finding the Fourth Proportional to 79,218, 118,878.84 and 29,970

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Solution

The fourth proportional to 79,218, 118,878.84 and 29,970 is: 44,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,218 : 118,878.84 = 29,970 : x
  2. Step 2: Convert to fraction form
    79,218/118,878.84 = 29,970/x
  3. Step 3: Cross multiply
    79,218x = 118,878.84 × 29,970
  4. Step 4: Simplify right side
    79,218x = 3,562,798,834.80
  5. Step 5: Solve for x
    x = 3,562,798,834.80/79,218
  6. Step 6: Final answer
    x = 44,974.61

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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.