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Finding the Fourth Proportional to 117,090, 161,653.86 and 76,874.22

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Solution

The fourth proportional to 117,090, 161,653.86 and 76,874.22 is: 106,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,090 : 161,653.86 = 76,874.22 : x
  2. Step 2: Convert to fraction form
    117,090/161,653.86 = 76,874.22/x
  3. Step 3: Cross multiply
    117,090x = 161,653.86 × 76,874.22
  4. Step 4: Simplify right side
    117,090x = 12,427,014,397.49
  5. Step 5: Solve for x
    x = 12,427,014,397.49/117,090
  6. Step 6: Final answer
    x = 106,132.16

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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.