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Finding the Fourth Proportional to 205,296.77, 308,138.90 and 105,527.02

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Solution

The fourth proportional to 205,296.77, 308,138.90 and 105,527.02 is: 158,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,296.77 : 308,138.90 = 105,527.02 : x
  2. Step 2: Convert to fraction form
    205,296.77/308,138.90 = 105,527.02/x
  3. Step 3: Cross multiply
    205,296.77x = 308,138.90 × 105,527.02
  4. Step 4: Simplify right side
    205,296.77x = 32,516,980,609.03
  5. Step 5: Solve for x
    x = 32,516,980,609.03/205,296.77
  6. Step 6: Final answer
    x = 158,390.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.