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Finding the Fourth Proportional to 104,790, 157,213.80 and 30,918

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Solution

The fourth proportional to 104,790, 157,213.80 and 30,918 is: 46,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790 : 157,213.80 = 30,918 : x
  2. Step 2: Convert to fraction form
    104,790/157,213.80 = 30,918/x
  3. Step 3: Cross multiply
    104,790x = 157,213.80 × 30,918
  4. Step 4: Simplify right side
    104,790x = 4,860,736,268.40
  5. Step 5: Solve for x
    x = 4,860,736,268.40/104,790
  6. Step 6: Final answer
    x = 46,385.50

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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.