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Finding the Fourth Proportional to 70,469, 105,703.50 and 21,221

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Solution

The fourth proportional to 70,469, 105,703.50 and 21,221 is: 31,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,469 : 105,703.50 = 21,221 : x
  2. Step 2: Convert to fraction form
    70,469/105,703.50 = 21,221/x
  3. Step 3: Cross multiply
    70,469x = 105,703.50 × 21,221
  4. Step 4: Simplify right side
    70,469x = 2,243,133,973.50
  5. Step 5: Solve for x
    x = 2,243,133,973.50/70,469
  6. Step 6: Final answer
    x = 31,831.50

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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.