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Finding the Fourth Proportional to 105,795.78, 145,998.35 and 58,049.48

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Solution

The fourth proportional to 105,795.78, 145,998.35 and 58,049.48 is: 80,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,795.78 : 145,998.35 = 58,049.48 : x
  2. Step 2: Convert to fraction form
    105,795.78/145,998.35 = 58,049.48/x
  3. Step 3: Cross multiply
    105,795.78x = 145,998.35 × 58,049.48
  4. Step 4: Simplify right side
    105,795.78x = 8,475,128,298.36
  5. Step 5: Solve for x
    x = 8,475,128,298.36/105,795.78
  6. Step 6: Final answer
    x = 80,108.38

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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.