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Finding the Fourth Proportional to 205,325.12, 307,998.72 and 65,094.68

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Solution

The fourth proportional to 205,325.12, 307,998.72 and 65,094.68 is: 97,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325.12 : 307,998.72 = 65,094.68 : x
  2. Step 2: Convert to fraction form
    205,325.12/307,998.72 = 65,094.68/x
  3. Step 3: Cross multiply
    205,325.12x = 307,998.72 × 65,094.68
  4. Step 4: Simplify right side
    205,325.12x = 20,049,078,118.81
  5. Step 5: Solve for x
    x = 20,049,078,118.81/205,325.12
  6. Step 6: Final answer
    x = 97,645.52

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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.