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Finding the Fourth Proportional to 98,784, 136,324.08 and 54,072

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Solution

The fourth proportional to 98,784, 136,324.08 and 54,072 is: 74,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784 : 136,324.08 = 54,072 : x
  2. Step 2: Convert to fraction form
    98,784/136,324.08 = 54,072/x
  3. Step 3: Cross multiply
    98,784x = 136,324.08 × 54,072
  4. Step 4: Simplify right side
    98,784x = 7,371,315,653.76
  5. Step 5: Solve for x
    x = 7,371,315,653.76/98,784
  6. Step 6: Final answer
    x = 74,620.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.