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Finding the Fourth Proportional to 206,953.86, 310,430.64 and 55,150.98

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Solution

The fourth proportional to 206,953.86, 310,430.64 and 55,150.98 is: 82,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953.86 : 310,430.64 = 55,150.98 : x
  2. Step 2: Convert to fraction form
    206,953.86/310,430.64 = 55,150.98/x
  3. Step 3: Cross multiply
    206,953.86x = 310,430.64 × 55,150.98
  4. Step 4: Simplify right side
    206,953.86x = 17,120,554,018.03
  5. Step 5: Solve for x
    x = 17,120,554,018.03/206,953.86
  6. Step 6: Final answer
    x = 82,726.43

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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.