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Finding the Fourth Proportional to 43,221, 64,831.50 and 14,037

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Solution

The fourth proportional to 43,221, 64,831.50 and 14,037 is: 21,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,221 : 64,831.50 = 14,037 : x
  2. Step 2: Convert to fraction form
    43,221/64,831.50 = 14,037/x
  3. Step 3: Cross multiply
    43,221x = 64,831.50 × 14,037
  4. Step 4: Simplify right side
    43,221x = 910,039,765.50
  5. Step 5: Solve for x
    x = 910,039,765.50/43,221
  6. Step 6: Final answer
    x = 21,055.50

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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.