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Finding the Fourth Proportional to 189,075.89, 260,921.39 and 103,035.65

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Solution

The fourth proportional to 189,075.89, 260,921.39 and 103,035.65 is: 142,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.89 : 260,921.39 = 103,035.65 : x
  2. Step 2: Convert to fraction form
    189,075.89/260,921.39 = 103,035.65/x
  3. Step 3: Cross multiply
    189,075.89x = 260,921.39 × 103,035.65
  4. Step 4: Simplify right side
    189,075.89x = 26,884,203,197.77
  5. Step 5: Solve for x
    x = 26,884,203,197.77/189,075.89
  6. Step 6: Final answer
    x = 142,187.37

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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.