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Finding the Fourth Proportional to 117,342.81, 161,890.65 and 77,078.25

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Solution

The fourth proportional to 117,342.81, 161,890.65 and 77,078.25 is: 106,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,342.81 : 161,890.65 = 77,078.25 : x
  2. Step 2: Convert to fraction form
    117,342.81/161,890.65 = 77,078.25/x
  3. Step 3: Cross multiply
    117,342.81x = 161,890.65 × 77,078.25
  4. Step 4: Simplify right side
    117,342.81x = 12,478,247,607.97
  5. Step 5: Solve for x
    x = 12,478,247,607.97/117,342.81
  6. Step 6: Final answer
    x = 106,340.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.