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Finding the Fourth Proportional to 78,216.32, 108,027.62 and 53,022.08

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Solution

The fourth proportional to 78,216.32, 108,027.62 and 53,022.08 is: 73,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216.32 : 108,027.62 = 53,022.08 : x
  2. Step 2: Convert to fraction form
    78,216.32/108,027.62 = 53,022.08/x
  3. Step 3: Cross multiply
    78,216.32x = 108,027.62 × 53,022.08
  4. Step 4: Simplify right side
    78,216.32x = 5,727,848,844.74
  5. Step 5: Solve for x
    x = 5,727,848,844.74/78,216.32
  6. Step 6: Final answer
    x = 73,230.87

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1.5x scale

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.