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Finding the Fourth Proportional to 189,077.79, 260,914.98 and 104,194.83

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Solution

The fourth proportional to 189,077.79, 260,914.98 and 104,194.83 is: 143,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,077.79 : 260,914.98 = 104,194.83 : x
  2. Step 2: Convert to fraction form
    189,077.79/260,914.98 = 104,194.83/x
  3. Step 3: Cross multiply
    189,077.79x = 260,914.98 × 104,194.83
  4. Step 4: Simplify right side
    189,077.79x = 27,185,991,985.55
  5. Step 5: Solve for x
    x = 27,185,991,985.55/189,077.79
  6. Step 6: Final answer
    x = 143,782.05

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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.