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Finding the Fourth Proportional to 119,010.51, 164,245.14 and 65,305.99

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Solution

The fourth proportional to 119,010.51, 164,245.14 and 65,305.99 is: 90,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,010.51 : 164,245.14 = 65,305.99 : x
  2. Step 2: Convert to fraction form
    119,010.51/164,245.14 = 65,305.99/x
  3. Step 3: Cross multiply
    119,010.51x = 164,245.14 × 65,305.99
  4. Step 4: Simplify right side
    119,010.51x = 10,726,191,470.39
  5. Step 5: Solve for x
    x = 10,726,191,470.39/119,010.51
  6. Step 6: Final answer
    x = 90,128.10

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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.