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Finding the Fourth Proportional to 98,270, 135,612.48 and 53,558

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Solution

The fourth proportional to 98,270, 135,612.48 and 53,558 is: 73,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,270 : 135,612.48 = 53,558 : x
  2. Step 2: Convert to fraction form
    98,270/135,612.48 = 53,558/x
  3. Step 3: Cross multiply
    98,270x = 135,612.48 × 53,558
  4. Step 4: Simplify right side
    98,270x = 7,263,133,203.84
  5. Step 5: Solve for x
    x = 7,263,133,203.84/98,270
  6. Step 6: Final answer
    x = 73,909.97

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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.