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Finding the Fourth Proportional to 77,810, 116,715 and 19,442

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Solution

The fourth proportional to 77,810, 116,715 and 19,442 is: 29,163

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,810 : 116,715 = 19,442 : x
  2. Step 2: Convert to fraction form
    77,810/116,715 = 19,442/x
  3. Step 3: Cross multiply
    77,810x = 116,715 × 19,442
  4. Step 4: Simplify right side
    77,810x = 2,269,173,030
  5. Step 5: Solve for x
    x = 2,269,173,030/77,810
  6. Step 6: Final answer
    x = 29,163

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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.