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Finding the Fourth Proportional to 223,750.71, 308,698.05 and 126,943.16

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Solution

The fourth proportional to 223,750.71, 308,698.05 and 126,943.16 is: 175,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,750.71 : 308,698.05 = 126,943.16 : x
  2. Step 2: Convert to fraction form
    223,750.71/308,698.05 = 126,943.16/x
  3. Step 3: Cross multiply
    223,750.71x = 308,698.05 × 126,943.16
  4. Step 4: Simplify right side
    223,750.71x = 39,187,104,409.35
  5. Step 5: Solve for x
    x = 39,187,104,409.35/223,750.71
  6. Step 6: Final answer
    x = 175,137.34

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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.