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Finding the Fourth Proportional to 189,643.42, 261,708.84 and 103,603.60

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Solution

The fourth proportional to 189,643.42, 261,708.84 and 103,603.60 is: 142,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,643.42 : 261,708.84 = 103,603.60 : x
  2. Step 2: Convert to fraction form
    189,643.42/261,708.84 = 103,603.60/x
  3. Step 3: Cross multiply
    189,643.42x = 261,708.84 × 103,603.60
  4. Step 4: Simplify right side
    189,643.42x = 27,113,977,975.82
  5. Step 5: Solve for x
    x = 27,113,977,975.82/189,643.42
  6. Step 6: Final answer
    x = 142,973.47

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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.