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Finding the Fourth Proportional to 47,038, 70,557 and 14,206

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Solution

The fourth proportional to 47,038, 70,557 and 14,206 is: 21,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,038 : 70,557 = 14,206 : x
  2. Step 2: Convert to fraction form
    47,038/70,557 = 14,206/x
  3. Step 3: Cross multiply
    47,038x = 70,557 × 14,206
  4. Step 4: Simplify right side
    47,038x = 1,002,332,742
  5. Step 5: Solve for x
    x = 1,002,332,742/47,038
  6. Step 6: Final answer
    x = 21,309

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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.