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Finding the Fourth Proportional to 120,582, 166,422.60 and 70,271.28

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Solution

The fourth proportional to 120,582, 166,422.60 and 70,271.28 is: 96,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,582 : 166,422.60 = 70,271.28 : x
  2. Step 2: Convert to fraction form
    120,582/166,422.60 = 70,271.28/x
  3. Step 3: Cross multiply
    120,582x = 166,422.60 × 70,271.28
  4. Step 4: Simplify right side
    120,582x = 11,694,729,122.93
  5. Step 5: Solve for x
    x = 11,694,729,122.93/120,582
  6. Step 6: Final answer
    x = 96,985.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.