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Finding the Fourth Proportional to 98,856, 136,427.76 and 54,144

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Solution

The fourth proportional to 98,856, 136,427.76 and 54,144 is: 74,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,856 : 136,427.76 = 54,144 : x
  2. Step 2: Convert to fraction form
    98,856/136,427.76 = 54,144/x
  3. Step 3: Cross multiply
    98,856x = 136,427.76 × 54,144
  4. Step 4: Simplify right side
    98,856x = 7,386,744,637.44
  5. Step 5: Solve for x
    x = 7,386,744,637.44/98,856
  6. Step 6: Final answer
    x = 74,722.27

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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.