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Finding the Fourth Proportional to 81,528, 122,295.60 and 22,362.32

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Solution

The fourth proportional to 81,528, 122,295.60 and 22,362.32 is: 33,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,528 : 122,295.60 = 22,362.32 : x
  2. Step 2: Convert to fraction form
    81,528/122,295.60 = 22,362.32/x
  3. Step 3: Cross multiply
    81,528x = 122,295.60 × 22,362.32
  4. Step 4: Simplify right side
    81,528x = 2,734,813,341.79
  5. Step 5: Solve for x
    x = 2,734,813,341.79/81,528
  6. Step 6: Final answer
    x = 33,544.47

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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.