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Finding the Fourth Proportional to 70,901.92, 106,346.40 and 21,653.92

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Solution

The fourth proportional to 70,901.92, 106,346.40 and 21,653.92 is: 32,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901.92 : 106,346.40 = 21,653.92 : x
  2. Step 2: Convert to fraction form
    70,901.92/106,346.40 = 21,653.92/x
  3. Step 3: Cross multiply
    70,901.92x = 106,346.40 × 21,653.92
  4. Step 4: Simplify right side
    70,901.92x = 2,302,816,437.89
  5. Step 5: Solve for x
    x = 2,302,816,437.89/70,901.92
  6. Step 6: Final answer
    x = 32,478.90

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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.