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Finding the Fourth Proportional to 56,155.40, 84,228.22 and 22,879

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Solution

The fourth proportional to 56,155.40, 84,228.22 and 22,879 is: 34,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,155.40 : 84,228.22 = 22,879 : x
  2. Step 2: Convert to fraction form
    56,155.40/84,228.22 = 22,879/x
  3. Step 3: Cross multiply
    56,155.40x = 84,228.22 × 22,879
  4. Step 4: Simplify right side
    56,155.40x = 1,927,057,445.38
  5. Step 5: Solve for x
    x = 1,927,057,445.38/56,155.40
  6. Step 6: Final answer
    x = 34,316.51

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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.