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Finding the Fourth Proportional to 221,129.07, 305,159.01 and 125,641

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Solution

The fourth proportional to 221,129.07, 305,159.01 and 125,641 is: 173,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,129.07 : 305,159.01 = 125,641 : x
  2. Step 2: Convert to fraction form
    221,129.07/305,159.01 = 125,641/x
  3. Step 3: Cross multiply
    221,129.07x = 305,159.01 × 125,641
  4. Step 4: Simplify right side
    221,129.07x = 38,340,483,175.41
  5. Step 5: Solve for x
    x = 38,340,483,175.41/221,129.07
  6. Step 6: Final answer
    x = 173,385.09

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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.