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Finding the Fourth Proportional to 84,985, 127,477.68 and 29,581

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Solution

The fourth proportional to 84,985, 127,477.68 and 29,581 is: 44,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,985 : 127,477.68 = 29,581 : x
  2. Step 2: Convert to fraction form
    84,985/127,477.68 = 29,581/x
  3. Step 3: Cross multiply
    84,985x = 127,477.68 × 29,581
  4. Step 4: Simplify right side
    84,985x = 3,770,917,252.08
  5. Step 5: Solve for x
    x = 3,770,917,252.08/84,985
  6. Step 6: Final answer
    x = 44,371.56

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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.