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Finding the Fourth Proportional to 189,069.58, 260,917.77 and 104,189.68

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Solution

The fourth proportional to 189,069.58, 260,917.77 and 104,189.68 is: 143,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,069.58 : 260,917.77 = 104,189.68 : x
  2. Step 2: Convert to fraction form
    189,069.58/260,917.77 = 104,189.68/x
  3. Step 3: Cross multiply
    189,069.58x = 260,917.77 × 104,189.68
  4. Step 4: Simplify right side
    189,069.58x = 27,184,938,962.61
  5. Step 5: Solve for x
    x = 27,184,938,962.61/189,069.58
  6. Step 6: Final answer
    x = 143,782.72

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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.