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Finding the Fourth Proportional to 117,142.72, 161,650.40 and 69,400.64

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Solution

The fourth proportional to 117,142.72, 161,650.40 and 69,400.64 is: 95,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,142.72 : 161,650.40 = 69,400.64 : x
  2. Step 2: Convert to fraction form
    117,142.72/161,650.40 = 69,400.64/x
  3. Step 3: Cross multiply
    117,142.72x = 161,650.40 × 69,400.64
  4. Step 4: Simplify right side
    117,142.72x = 11,218,641,216.26
  5. Step 5: Solve for x
    x = 11,218,641,216.26/117,142.72
  6. Step 6: Final answer
    x = 95,769.00

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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.