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Finding the Fourth Proportional to 205,783.36, 308,643.39 and 56,035.21

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Solution

The fourth proportional to 205,783.36, 308,643.39 and 56,035.21 is: 84,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,783.36 : 308,643.39 = 56,035.21 : x
  2. Step 2: Convert to fraction form
    205,783.36/308,643.39 = 56,035.21/x
  3. Step 3: Cross multiply
    205,783.36x = 308,643.39 × 56,035.21
  4. Step 4: Simplify right side
    205,783.36x = 17,294,897,173.76
  5. Step 5: Solve for x
    x = 17,294,897,173.76/205,783.36
  6. Step 6: Final answer
    x = 84,044.20

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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.