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Finding the Fourth Proportional to 81,656.97, 112,695.67 and 47,673.81

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Solution

The fourth proportional to 81,656.97, 112,695.67 and 47,673.81 is: 65,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656.97 : 112,695.67 = 47,673.81 : x
  2. Step 2: Convert to fraction form
    81,656.97/112,695.67 = 47,673.81/x
  3. Step 3: Cross multiply
    81,656.97x = 112,695.67 × 47,673.81
  4. Step 4: Simplify right side
    81,656.97x = 5,372,631,840.22
  5. Step 5: Solve for x
    x = 5,372,631,840.22/81,656.97
  6. Step 6: Final answer
    x = 65,795.14

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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.