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Finding the Fourth Proportional to 189,071.36, 283,656.24 and 70,751.84

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Solution

The fourth proportional to 189,071.36, 283,656.24 and 70,751.84 is: 106,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071.36 : 283,656.24 = 70,751.84 : x
  2. Step 2: Convert to fraction form
    189,071.36/283,656.24 = 70,751.84/x
  3. Step 3: Cross multiply
    189,071.36x = 283,656.24 × 70,751.84
  4. Step 4: Simplify right side
    189,071.36x = 20,069,200,907.48
  5. Step 5: Solve for x
    x = 20,069,200,907.48/189,071.36
  6. Step 6: Final answer
    x = 106,146.17

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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.