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Finding the Fourth Proportional to 105,795.92, 145,975.56 and 61,058

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Solution

The fourth proportional to 105,795.92, 145,975.56 and 61,058 is: 84,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,795.92 : 145,975.56 = 61,058 : x
  2. Step 2: Convert to fraction form
    105,795.92/145,975.56 = 61,058/x
  3. Step 3: Cross multiply
    105,795.92x = 145,975.56 × 61,058
  4. Step 4: Simplify right side
    105,795.92x = 8,912,975,742.48
  5. Step 5: Solve for x
    x = 8,912,975,742.48/105,795.92
  6. Step 6: Final answer
    x = 84,246.88

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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.