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Finding the Fourth Proportional to 221,646.66, 305,973.09 and 141,184.50

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Solution

The fourth proportional to 221,646.66, 305,973.09 and 141,184.50 is: 194,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,646.66 : 305,973.09 = 141,184.50 : x
  2. Step 2: Convert to fraction form
    221,646.66/305,973.09 = 141,184.50/x
  3. Step 3: Cross multiply
    221,646.66x = 305,973.09 × 141,184.50
  4. Step 4: Simplify right side
    221,646.66x = 43,198,657,725.11
  5. Step 5: Solve for x
    x = 43,198,657,725.11/221,646.66
  6. Step 6: Final answer
    x = 194,898.75

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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.