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Finding the Fourth Proportional to 105,057, 144,990.80 and 58,494.55

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Solution

The fourth proportional to 105,057, 144,990.80 and 58,494.55 is: 80,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057 : 144,990.80 = 58,494.55 : x
  2. Step 2: Convert to fraction form
    105,057/144,990.80 = 58,494.55/x
  3. Step 3: Cross multiply
    105,057x = 144,990.80 × 58,494.55
  4. Step 4: Simplify right side
    105,057x = 8,481,171,600.14
  5. Step 5: Solve for x
    x = 8,481,171,600.14/105,057
  6. Step 6: Final answer
    x = 80,729.24

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1.5x scale

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.