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Finding the Fourth Proportional to 102,666.65, 153,947.36 and 54,662.51

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Solution

The fourth proportional to 102,666.65, 153,947.36 and 54,662.51 is: 81,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.65 : 153,947.36 = 54,662.51 : x
  2. Step 2: Convert to fraction form
    102,666.65/153,947.36 = 54,662.51/x
  3. Step 3: Cross multiply
    102,666.65x = 153,947.36 × 54,662.51
  4. Step 4: Simplify right side
    102,666.65x = 8,415,149,105.47
  5. Step 5: Solve for x
    x = 8,415,149,105.47/102,666.65
  6. Step 6: Final answer
    x = 81,965.75

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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.