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Finding the Fourth Proportional to 81,658.06, 112,679.40 and 45,852

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Solution

The fourth proportional to 81,658.06, 112,679.40 and 45,852 is: 63,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.06 : 112,679.40 = 45,852 : x
  2. Step 2: Convert to fraction form
    81,658.06/112,679.40 = 45,852/x
  3. Step 3: Cross multiply
    81,658.06x = 112,679.40 × 45,852
  4. Step 4: Simplify right side
    81,658.06x = 5,166,575,848.80
  5. Step 5: Solve for x
    x = 5,166,575,848.80/81,658.06
  6. Step 6: Final answer
    x = 63,270.86

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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.