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Finding the Fourth Proportional to 100,693.86, 138,957.30 and 55,374.63

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Solution

The fourth proportional to 100,693.86, 138,957.30 and 55,374.63 is: 76,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.86 : 138,957.30 = 55,374.63 : x
  2. Step 2: Convert to fraction form
    100,693.86/138,957.30 = 55,374.63/x
  3. Step 3: Cross multiply
    100,693.86x = 138,957.30 × 55,374.63
  4. Step 4: Simplify right side
    100,693.86x = 7,694,709,073.30
  5. Step 5: Solve for x
    x = 7,694,709,073.30/100,693.86
  6. Step 6: Final answer
    x = 76,416.86

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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.