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Finding the Fourth Proportional to 47,221, 70,831.82 and 14,389

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Solution

The fourth proportional to 47,221, 70,831.82 and 14,389 is: 21,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,221 : 70,831.82 = 14,389 : x
  2. Step 2: Convert to fraction form
    47,221/70,831.82 = 14,389/x
  3. Step 3: Cross multiply
    47,221x = 70,831.82 × 14,389
  4. Step 4: Simplify right side
    47,221x = 1,019,199,057.98
  5. Step 5: Solve for x
    x = 1,019,199,057.98/47,221
  6. Step 6: Final answer
    x = 21,583.60

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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.