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Finding the Fourth Proportional to 257,989.81, 386,971.05 and 80,476.48

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Solution

The fourth proportional to 257,989.81, 386,971.05 and 80,476.48 is: 120,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,989.81 : 386,971.05 = 80,476.48 : x
  2. Step 2: Convert to fraction form
    257,989.81/386,971.05 = 80,476.48/x
  3. Step 3: Cross multiply
    257,989.81x = 386,971.05 × 80,476.48
  4. Step 4: Simplify right side
    257,989.81x = 31,142,067,965.90
  5. Step 5: Solve for x
    x = 31,142,067,965.90/257,989.81
  6. Step 6: Final answer
    x = 120,710.46

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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.