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Finding the Fourth Proportional to 205,107.64, 307,646.88 and 55,356.46

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Solution

The fourth proportional to 205,107.64, 307,646.88 and 55,356.46 is: 83,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,107.64 : 307,646.88 = 55,356.46 : x
  2. Step 2: Convert to fraction form
    205,107.64/307,646.88 = 55,356.46/x
  3. Step 3: Cross multiply
    205,107.64x = 307,646.88 × 55,356.46
  4. Step 4: Simplify right side
    205,107.64x = 17,030,241,230.14
  5. Step 5: Solve for x
    x = 17,030,241,230.14/205,107.64
  6. Step 6: Final answer
    x = 83,030.75

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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.