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Finding the Fourth Proportional to 189,200, 261,097.80 and 104,320.10

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Solution

The fourth proportional to 189,200, 261,097.80 and 104,320.10 is: 143,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200 : 261,097.80 = 104,320.10 : x
  2. Step 2: Convert to fraction form
    189,200/261,097.80 = 104,320.10/x
  3. Step 3: Cross multiply
    189,200x = 261,097.80 × 104,320.10
  4. Step 4: Simplify right side
    189,200x = 27,237,748,605.78
  5. Step 5: Solve for x
    x = 27,237,748,605.78/189,200
  6. Step 6: Final answer
    x = 143,962.73

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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.