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Finding the Fourth Proportional to 39,981, 55,178.64 and 23,214

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Solution

The fourth proportional to 39,981, 55,178.64 and 23,214 is: 32,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,981 : 55,178.64 = 23,214 : x
  2. Step 2: Convert to fraction form
    39,981/55,178.64 = 23,214/x
  3. Step 3: Cross multiply
    39,981x = 55,178.64 × 23,214
  4. Step 4: Simplify right side
    39,981x = 1,280,916,948.96
  5. Step 5: Solve for x
    x = 1,280,916,948.96/39,981
  6. Step 6: Final answer
    x = 32,038.14

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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.