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Finding the Fourth Proportional to 100,445.92, 138,563 and 59,586.28

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Solution

The fourth proportional to 100,445.92, 138,563 and 59,586.28 is: 82,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,445.92 : 138,563 = 59,586.28 : x
  2. Step 2: Convert to fraction form
    100,445.92/138,563 = 59,586.28/x
  3. Step 3: Cross multiply
    100,445.92x = 138,563 × 59,586.28
  4. Step 4: Simplify right side
    100,445.92x = 8,256,453,715.64
  5. Step 5: Solve for x
    x = 8,256,453,715.64/100,445.92
  6. Step 6: Final answer
    x = 82,198.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.