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Finding the Fourth Proportional to 70,901, 106,351.50 and 21,653

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Solution

The fourth proportional to 70,901, 106,351.50 and 21,653 is: 32,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901 : 106,351.50 = 21,653 : x
  2. Step 2: Convert to fraction form
    70,901/106,351.50 = 21,653/x
  3. Step 3: Cross multiply
    70,901x = 106,351.50 × 21,653
  4. Step 4: Simplify right side
    70,901x = 2,302,829,029.50
  5. Step 5: Solve for x
    x = 2,302,829,029.50/70,901
  6. Step 6: Final answer
    x = 32,479.50

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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.