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Finding the Fourth Proportional to 205,483.81, 308,224.95 and 55,723.72

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Solution

The fourth proportional to 205,483.81, 308,224.95 and 55,723.72 is: 83,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,483.81 : 308,224.95 = 55,723.72 : x
  2. Step 2: Convert to fraction form
    205,483.81/308,224.95 = 55,723.72/x
  3. Step 3: Cross multiply
    205,483.81x = 308,224.95 × 55,723.72
  4. Step 4: Simplify right side
    205,483.81x = 17,175,440,810.81
  5. Step 5: Solve for x
    x = 17,175,440,810.81/205,483.81
  6. Step 6: Final answer
    x = 83,585.37

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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.