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Finding the Fourth Proportional to 98,108, 135,389.04 and 53,396

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Solution

The fourth proportional to 98,108, 135,389.04 and 53,396 is: 73,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,108 : 135,389.04 = 53,396 : x
  2. Step 2: Convert to fraction form
    98,108/135,389.04 = 53,396/x
  3. Step 3: Cross multiply
    98,108x = 135,389.04 × 53,396
  4. Step 4: Simplify right side
    98,108x = 7,229,233,179.84
  5. Step 5: Solve for x
    x = 7,229,233,179.84/98,108
  6. Step 6: Final answer
    x = 73,686.48

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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.