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Finding the Fourth Proportional to 81,507.64, 122,237.76 and 31,576.60

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Solution

The fourth proportional to 81,507.64, 122,237.76 and 31,576.60 is: 47,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,507.64 : 122,237.76 = 31,576.60 : x
  2. Step 2: Convert to fraction form
    81,507.64/122,237.76 = 31,576.60/x
  3. Step 3: Cross multiply
    81,507.64x = 122,237.76 × 31,576.60
  4. Step 4: Simplify right side
    81,507.64x = 3,859,852,852.42
  5. Step 5: Solve for x
    x = 3,859,852,852.42/81,507.64
  6. Step 6: Final answer
    x = 47,355.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.