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Finding the Fourth Proportional to 105,729, 145,905 and 57,982.20

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Solution

The fourth proportional to 105,729, 145,905 and 57,982.20 is: 80,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729 : 145,905 = 57,982.20 : x
  2. Step 2: Convert to fraction form
    105,729/145,905 = 57,982.20/x
  3. Step 3: Cross multiply
    105,729x = 145,905 × 57,982.20
  4. Step 4: Simplify right side
    105,729x = 8,459,892,891
  5. Step 5: Solve for x
    x = 8,459,892,891/105,729
  6. Step 6: Final answer
    x = 80,014.88

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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.