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Finding the Fourth Proportional to 205,014.38, 307,519.74 and 64,773

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Solution

The fourth proportional to 205,014.38, 307,519.74 and 64,773 is: 97,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,014.38 : 307,519.74 = 64,773 : x
  2. Step 2: Convert to fraction form
    205,014.38/307,519.74 = 64,773/x
  3. Step 3: Cross multiply
    205,014.38x = 307,519.74 × 64,773
  4. Step 4: Simplify right side
    205,014.38x = 19,918,976,119.02
  5. Step 5: Solve for x
    x = 19,918,976,119.02/205,014.38
  6. Step 6: Final answer
    x = 97,158.92

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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.