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Finding the Fourth Proportional to 189,300, 283,866.84 and 70,888.30

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Solution

The fourth proportional to 189,300, 283,866.84 and 70,888.30 is: 106,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,300 : 283,866.84 = 70,888.30 : x
  2. Step 2: Convert to fraction form
    189,300/283,866.84 = 70,888.30/x
  3. Step 3: Cross multiply
    189,300x = 283,866.84 × 70,888.30
  4. Step 4: Simplify right side
    189,300x = 20,122,837,713.97
  5. Step 5: Solve for x
    x = 20,122,837,713.97/189,300
  6. Step 6: Final answer
    x = 106,301.31

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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.