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Finding the Fourth Proportional to 39,178, 54,065.64 and 22,411

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Solution

The fourth proportional to 39,178, 54,065.64 and 22,411 is: 30,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 54,065.64 = 22,411 : x
  2. Step 2: Convert to fraction form
    39,178/54,065.64 = 22,411/x
  3. Step 3: Cross multiply
    39,178x = 54,065.64 × 22,411
  4. Step 4: Simplify right side
    39,178x = 1,211,665,058.04
  5. Step 5: Solve for x
    x = 1,211,665,058.04/39,178
  6. Step 6: Final answer
    x = 30,927.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.