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Finding the Fourth Proportional to 70,970.86, 106,438.12 and 21,039.28

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Solution

The fourth proportional to 70,970.86, 106,438.12 and 21,039.28 is: 31,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.86 : 106,438.12 = 21,039.28 : x
  2. Step 2: Convert to fraction form
    70,970.86/106,438.12 = 21,039.28/x
  3. Step 3: Cross multiply
    70,970.86x = 106,438.12 × 21,039.28
  4. Step 4: Simplify right side
    70,970.86x = 2,239,381,409.35
  5. Step 5: Solve for x
    x = 2,239,381,409.35/70,970.86
  6. Step 6: Final answer
    x = 31,553.53

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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.