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Finding the Fourth Proportional to 121,576.52, 167,852.64 and 83,400.02

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Solution

The fourth proportional to 121,576.52, 167,852.64 and 83,400.02 is: 115,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,576.52 : 167,852.64 = 83,400.02 : x
  2. Step 2: Convert to fraction form
    121,576.52/167,852.64 = 83,400.02/x
  3. Step 3: Cross multiply
    121,576.52x = 167,852.64 × 83,400.02
  4. Step 4: Simplify right side
    121,576.52x = 13,998,913,533.05
  5. Step 5: Solve for x
    x = 13,998,913,533.05/121,576.52
  6. Step 6: Final answer
    x = 115,144.88

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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.