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Finding the Fourth Proportional to 77,340, 116,010 and 18,972

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Solution

The fourth proportional to 77,340, 116,010 and 18,972 is: 28,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,340 : 116,010 = 18,972 : x
  2. Step 2: Convert to fraction form
    77,340/116,010 = 18,972/x
  3. Step 3: Cross multiply
    77,340x = 116,010 × 18,972
  4. Step 4: Simplify right side
    77,340x = 2,200,941,720
  5. Step 5: Solve for x
    x = 2,200,941,720/77,340
  6. Step 6: Final answer
    x = 28,458

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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.