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Finding the Fourth Proportional to 117,051.24, 161,530.02 and 66,749.16

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Solution

The fourth proportional to 117,051.24, 161,530.02 and 66,749.16 is: 92,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,051.24 : 161,530.02 = 66,749.16 : x
  2. Step 2: Convert to fraction form
    117,051.24/161,530.02 = 66,749.16/x
  3. Step 3: Cross multiply
    117,051.24x = 161,530.02 × 66,749.16
  4. Step 4: Simplify right side
    117,051.24x = 10,781,993,149.78
  5. Step 5: Solve for x
    x = 10,781,993,149.78/117,051.24
  6. Step 6: Final answer
    x = 92,113.45

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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.