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Finding the Fourth Proportional to 189,383.25, 284,001.07 and 70,990.01

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Solution

The fourth proportional to 189,383.25, 284,001.07 and 70,990.01 is: 106,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383.25 : 284,001.07 = 70,990.01 : x
  2. Step 2: Convert to fraction form
    189,383.25/284,001.07 = 70,990.01/x
  3. Step 3: Cross multiply
    189,383.25x = 284,001.07 × 70,990.01
  4. Step 4: Simplify right side
    189,383.25x = 20,161,238,799.31
  5. Step 5: Solve for x
    x = 20,161,238,799.31/189,383.25
  6. Step 6: Final answer
    x = 106,457.35

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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.