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Finding the Fourth Proportional to 109,754.04, 164,458.08 and 84,855

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Solution

The fourth proportional to 109,754.04, 164,458.08 and 84,855 is: 127,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.04 : 164,458.08 = 84,855 : x
  2. Step 2: Convert to fraction form
    109,754.04/164,458.08 = 84,855/x
  3. Step 3: Cross multiply
    109,754.04x = 164,458.08 × 84,855
  4. Step 4: Simplify right side
    109,754.04x = 13,955,090,378.40
  5. Step 5: Solve for x
    x = 13,955,090,378.40/109,754.04
  6. Step 6: Final answer
    x = 127,148.76

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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.