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Finding the Fourth Proportional to 100,425.92, 138,600.06 and 57,984.38

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Solution

The fourth proportional to 100,425.92, 138,600.06 and 57,984.38 is: 80,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,425.92 : 138,600.06 = 57,984.38 : x
  2. Step 2: Convert to fraction form
    100,425.92/138,600.06 = 57,984.38/x
  3. Step 3: Cross multiply
    100,425.92x = 138,600.06 × 57,984.38
  4. Step 4: Simplify right side
    100,425.92x = 8,036,638,547.06
  5. Step 5: Solve for x
    x = 8,036,638,547.06/100,425.92
  6. Step 6: Final answer
    x = 80,025.54

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1.5x scale

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.