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Finding the Fourth Proportional to 189,075.84, 260,914.56 and 104,177.28

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Solution

The fourth proportional to 189,075.84, 260,914.56 and 104,177.28 is: 143,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.84 : 260,914.56 = 104,177.28 : x
  2. Step 2: Convert to fraction form
    189,075.84/260,914.56 = 104,177.28/x
  3. Step 3: Cross multiply
    189,075.84x = 260,914.56 × 104,177.28
  4. Step 4: Simplify right side
    189,075.84x = 27,181,369,173.20
  5. Step 5: Solve for x
    x = 27,181,369,173.20/189,075.84
  6. Step 6: Final answer
    x = 143,759.08

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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.