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Finding the Fourth Proportional to 163,783.34, 225,940.83 and 100,010.78

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Solution

The fourth proportional to 163,783.34, 225,940.83 and 100,010.78 is: 137,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,783.34 : 225,940.83 = 100,010.78 : x
  2. Step 2: Convert to fraction form
    163,783.34/225,940.83 = 100,010.78/x
  3. Step 3: Cross multiply
    163,783.34x = 225,940.83 × 100,010.78
  4. Step 4: Simplify right side
    163,783.34x = 22,596,518,642.15
  5. Step 5: Solve for x
    x = 22,596,518,642.15/163,783.34
  6. Step 6: Final answer
    x = 137,965.92

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1.5x scale

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.