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Finding the Fourth Proportional to 105,110, 157,507.64 and 54,393.88

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Solution

The fourth proportional to 105,110, 157,507.64 and 54,393.88 is: 81,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110 : 157,507.64 = 54,393.88 : x
  2. Step 2: Convert to fraction form
    105,110/157,507.64 = 54,393.88/x
  3. Step 3: Cross multiply
    105,110x = 157,507.64 × 54,393.88
  4. Step 4: Simplify right side
    105,110x = 8,567,451,669.24
  5. Step 5: Solve for x
    x = 8,567,451,669.24/105,110
  6. Step 6: Final answer
    x = 81,509.39

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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.