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Finding the Fourth Proportional to 57,746, 86,619 and 13,970

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Solution

The fourth proportional to 57,746, 86,619 and 13,970 is: 20,955

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746 : 86,619 = 13,970 : x
  2. Step 2: Convert to fraction form
    57,746/86,619 = 13,970/x
  3. Step 3: Cross multiply
    57,746x = 86,619 × 13,970
  4. Step 4: Simplify right side
    57,746x = 1,210,067,430
  5. Step 5: Solve for x
    x = 1,210,067,430/57,746
  6. Step 6: Final answer
    x = 20,955

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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.