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Finding the Fourth Proportional to 45,965.77, 68,968.19 and 25,978.01

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Solution

The fourth proportional to 45,965.77, 68,968.19 and 25,978.01 is: 38,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,965.77 : 68,968.19 = 25,978.01 : x
  2. Step 2: Convert to fraction form
    45,965.77/68,968.19 = 25,978.01/x
  3. Step 3: Cross multiply
    45,965.77x = 68,968.19 × 25,978.01
  4. Step 4: Simplify right side
    45,965.77x = 1,791,656,049.61
  5. Step 5: Solve for x
    x = 1,791,656,049.61/45,965.77
  6. Step 6: Final answer
    x = 38,978.05

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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.