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Finding the Fourth Proportional to 102,665.65, 153,945.86 and 54,661.51

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Solution

The fourth proportional to 102,665.65, 153,945.86 and 54,661.51 is: 81,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.65 : 153,945.86 = 54,661.51 : x
  2. Step 2: Convert to fraction form
    102,665.65/153,945.86 = 54,661.51/x
  3. Step 3: Cross multiply
    102,665.65x = 153,945.86 × 54,661.51
  4. Step 4: Simplify right side
    102,665.65x = 8,414,913,165.85
  5. Step 5: Solve for x
    x = 8,414,913,165.85/102,665.65
  6. Step 6: Final answer
    x = 81,964.25

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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.