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Finding the Fourth Proportional to 98,871.86, 136,442.47 and 53,548.80

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Solution

The fourth proportional to 98,871.86, 136,442.47 and 53,548.80 is: 73,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,871.86 : 136,442.47 = 53,548.80 : x
  2. Step 2: Convert to fraction form
    98,871.86/136,442.47 = 53,548.80/x
  3. Step 3: Cross multiply
    98,871.86x = 136,442.47 × 53,548.80
  4. Step 4: Simplify right side
    98,871.86x = 7,306,330,537.54
  5. Step 5: Solve for x
    x = 7,306,330,537.54/98,871.86
  6. Step 6: Final answer
    x = 73,896.97

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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.