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Finding the Fourth Proportional to 81,875.40, 112,980 and 46,064.64

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Solution

The fourth proportional to 81,875.40, 112,980 and 46,064.64 is: 63,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.40 : 112,980 = 46,064.64 : x
  2. Step 2: Convert to fraction form
    81,875.40/112,980 = 46,064.64/x
  3. Step 3: Cross multiply
    81,875.40x = 112,980 × 46,064.64
  4. Step 4: Simplify right side
    81,875.40x = 5,204,383,027.20
  5. Step 5: Solve for x
    x = 5,204,383,027.20/81,875.40
  6. Step 6: Final answer
    x = 63,564.67

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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.