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Finding the Fourth Proportional to 117,184, 161,709.20 and 68,779.28

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Solution

The fourth proportional to 117,184, 161,709.20 and 68,779.28 is: 94,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,184 : 161,709.20 = 68,779.28 : x
  2. Step 2: Convert to fraction form
    117,184/161,709.20 = 68,779.28/x
  3. Step 3: Cross multiply
    117,184x = 161,709.20 × 68,779.28
  4. Step 4: Simplify right side
    117,184x = 11,122,242,345.38
  5. Step 5: Solve for x
    x = 11,122,242,345.38/117,184
  6. Step 6: Final answer
    x = 94,912.64

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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.