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Finding the Fourth Proportional to 121,083, 167,094.54 and 70,782

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Solution

The fourth proportional to 121,083, 167,094.54 and 70,782 is: 97,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,083 : 167,094.54 = 70,782 : x
  2. Step 2: Convert to fraction form
    121,083/167,094.54 = 70,782/x
  3. Step 3: Cross multiply
    121,083x = 167,094.54 × 70,782
  4. Step 4: Simplify right side
    121,083x = 11,827,285,730.28
  5. Step 5: Solve for x
    x = 11,827,285,730.28/121,083
  6. Step 6: Final answer
    x = 97,679.16

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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.