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Finding the Fourth Proportional to 177,782.54, 245,319.80 and 105,187.66

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Solution

The fourth proportional to 177,782.54, 245,319.80 and 105,187.66 is: 145,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,782.54 : 245,319.80 = 105,187.66 : x
  2. Step 2: Convert to fraction form
    177,782.54/245,319.80 = 105,187.66/x
  3. Step 3: Cross multiply
    177,782.54x = 245,319.80 × 105,187.66
  4. Step 4: Simplify right side
    177,782.54x = 25,804,614,574.43
  5. Step 5: Solve for x
    x = 25,804,614,574.43/177,782.54
  6. Step 6: Final answer
    x = 145,147.07

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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.