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Finding the Fourth Proportional to 102,891.77, 154,415.41 and 43,769.06

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Solution

The fourth proportional to 102,891.77, 154,415.41 and 43,769.06 is: 65,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,891.77 : 154,415.41 = 43,769.06 : x
  2. Step 2: Convert to fraction form
    102,891.77/154,415.41 = 43,769.06/x
  3. Step 3: Cross multiply
    102,891.77x = 154,415.41 × 43,769.06
  4. Step 4: Simplify right side
    102,891.77x = 6,758,616,354.29
  5. Step 5: Solve for x
    x = 6,758,616,354.29/102,891.77
  6. Step 6: Final answer
    x = 65,686.66

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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.