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Finding the Fourth Proportional to 189,365, 261,332.04 and 108,817.76

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Solution

The fourth proportional to 189,365, 261,332.04 and 108,817.76 is: 150,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365 : 261,332.04 = 108,817.76 : x
  2. Step 2: Convert to fraction form
    189,365/261,332.04 = 108,817.76/x
  3. Step 3: Cross multiply
    189,365x = 261,332.04 × 108,817.76
  4. Step 4: Simplify right side
    189,365x = 28,437,567,209.03
  5. Step 5: Solve for x
    x = 28,437,567,209.03/189,365
  6. Step 6: Final answer
    x = 150,173.30

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1.5x scale

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.