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Finding the Fourth Proportional to 189,075.97, 260,921.46 and 103,035.70

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Solution

The fourth proportional to 189,075.97, 260,921.46 and 103,035.70 is: 142,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.97 : 260,921.46 = 103,035.70 : x
  2. Step 2: Convert to fraction form
    189,075.97/260,921.46 = 103,035.70/x
  3. Step 3: Cross multiply
    189,075.97x = 260,921.46 × 103,035.70
  4. Step 4: Simplify right side
    189,075.97x = 26,884,225,276.12
  5. Step 5: Solve for x
    x = 26,884,225,276.12/189,075.97
  6. Step 6: Final answer
    x = 142,187.42

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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.