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Finding the Fourth Proportional to 163,090, 225,073.50 and 91,464.33

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Solution

The fourth proportional to 163,090, 225,073.50 and 91,464.33 is: 126,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,090 : 225,073.50 = 91,464.33 : x
  2. Step 2: Convert to fraction form
    163,090/225,073.50 = 91,464.33/x
  3. Step 3: Cross multiply
    163,090x = 225,073.50 × 91,464.33
  4. Step 4: Simplify right side
    163,090x = 20,586,196,878.26
  5. Step 5: Solve for x
    x = 20,586,196,878.26/163,090
  6. Step 6: Final answer
    x = 126,225.99

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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.