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Finding the Fourth Proportional to 100,478.64, 138,661.44 and 58,036.20

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Solution

The fourth proportional to 100,478.64, 138,661.44 and 58,036.20 is: 80,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478.64 : 138,661.44 = 58,036.20 : x
  2. Step 2: Convert to fraction form
    100,478.64/138,661.44 = 58,036.20/x
  3. Step 3: Cross multiply
    100,478.64x = 138,661.44 × 58,036.20
  4. Step 4: Simplify right side
    100,478.64x = 8,047,383,064.13
  5. Step 5: Solve for x
    x = 8,047,383,064.13/100,478.64
  6. Step 6: Final answer
    x = 80,090.49

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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.