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Finding the Fourth Proportional to 107,984.64, 161,980.74 and 29,100.74

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Solution

The fourth proportional to 107,984.64, 161,980.74 and 29,100.74 is: 43,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,984.64 : 161,980.74 = 29,100.74 : x
  2. Step 2: Convert to fraction form
    107,984.64/161,980.74 = 29,100.74/x
  3. Step 3: Cross multiply
    107,984.64x = 161,980.74 × 29,100.74
  4. Step 4: Simplify right side
    107,984.64x = 4,713,759,399.75
  5. Step 5: Solve for x
    x = 4,713,759,399.75/107,984.64
  6. Step 6: Final answer
    x = 43,652.13

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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.