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Finding the Fourth Proportional to 154,558.86, 213,760.80 and 138,637.50

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Solution

The fourth proportional to 154,558.86, 213,760.80 and 138,637.50 is: 191,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,558.86 : 213,760.80 = 138,637.50 : x
  2. Step 2: Convert to fraction form
    154,558.86/213,760.80 = 138,637.50/x
  3. Step 3: Cross multiply
    154,558.86x = 213,760.80 × 138,637.50
  4. Step 4: Simplify right side
    154,558.86x = 29,635,262,910
  5. Step 5: Solve for x
    x = 29,635,262,910/154,558.86
  6. Step 6: Final answer
    x = 191,740.95

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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.