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Finding the Fourth Proportional to 164,970, 227,659.21 and 89,518.50

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Solution

The fourth proportional to 164,970, 227,659.21 and 89,518.50 is: 123,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,970 : 227,659.21 = 89,518.50 : x
  2. Step 2: Convert to fraction form
    164,970/227,659.21 = 89,518.50/x
  3. Step 3: Cross multiply
    164,970x = 227,659.21 × 89,518.50
  4. Step 4: Simplify right side
    164,970x = 20,379,710,990.39
  5. Step 5: Solve for x
    x = 20,379,710,990.39/164,970
  6. Step 6: Final answer
    x = 123,535.86

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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.