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Finding the Fourth Proportional to 121,090.64, 167,078.76 and 70,766.48

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Solution

The fourth proportional to 121,090.64, 167,078.76 and 70,766.48 is: 97,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,090.64 : 167,078.76 = 70,766.48 : x
  2. Step 2: Convert to fraction form
    121,090.64/167,078.76 = 70,766.48/x
  3. Step 3: Cross multiply
    121,090.64x = 167,078.76 × 70,766.48
  4. Step 4: Simplify right side
    121,090.64x = 11,823,575,727.96
  5. Step 5: Solve for x
    x = 11,823,575,727.96/121,090.64
  6. Step 6: Final answer
    x = 97,642.36

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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.