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Finding the Fourth Proportional to 188,504.63, 282,802.05 and 55,381.94

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Solution

The fourth proportional to 188,504.63, 282,802.05 and 55,381.94 is: 83,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,504.63 : 282,802.05 = 55,381.94 : x
  2. Step 2: Convert to fraction form
    188,504.63/282,802.05 = 55,381.94/x
  3. Step 3: Cross multiply
    188,504.63x = 282,802.05 × 55,381.94
  4. Step 4: Simplify right side
    188,504.63x = 15,662,124,750.97
  5. Step 5: Solve for x
    x = 15,662,124,750.97/188,504.63
  6. Step 6: Final answer
    x = 83,086.16

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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.