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Finding the Fourth Proportional to 103,974, 143,480 and 58,644.76

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Solution

The fourth proportional to 103,974, 143,480 and 58,644.76 is: 80,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,974 : 143,480 = 58,644.76 : x
  2. Step 2: Convert to fraction form
    103,974/143,480 = 58,644.76/x
  3. Step 3: Cross multiply
    103,974x = 143,480 × 58,644.76
  4. Step 4: Simplify right side
    103,974x = 8,414,350,164.80
  5. Step 5: Solve for x
    x = 8,414,350,164.80/103,974
  6. Step 6: Final answer
    x = 80,927.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.