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Finding the Fourth Proportional to 205,196.40, 307,765.80 and 64,969.20

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Solution

The fourth proportional to 205,196.40, 307,765.80 and 64,969.20 is: 97,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,196.40 : 307,765.80 = 64,969.20 : x
  2. Step 2: Convert to fraction form
    205,196.40/307,765.80 = 64,969.20/x
  3. Step 3: Cross multiply
    205,196.40x = 307,765.80 × 64,969.20
  4. Step 4: Simplify right side
    205,196.40x = 19,995,297,813.36
  5. Step 5: Solve for x
    x = 19,995,297,813.36/205,196.40
  6. Step 6: Final answer
    x = 97,444.68

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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.