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Finding the Fourth Proportional to 205,663.76, 283,751.40 and 115,007.48

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Solution

The fourth proportional to 205,663.76, 283,751.40 and 115,007.48 is: 158,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,663.76 : 283,751.40 = 115,007.48 : x
  2. Step 2: Convert to fraction form
    205,663.76/283,751.40 = 115,007.48/x
  3. Step 3: Cross multiply
    205,663.76x = 283,751.40 × 115,007.48
  4. Step 4: Simplify right side
    205,663.76x = 32,633,533,460.47
  5. Step 5: Solve for x
    x = 32,633,533,460.47/205,663.76
  6. Step 6: Final answer
    x = 158,674.20

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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.