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Finding the Fourth Proportional to 221,406.16, 305,547.24 and 125,926.60

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Solution

The fourth proportional to 221,406.16, 305,547.24 and 125,926.60 is: 173,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,406.16 : 305,547.24 = 125,926.60 : x
  2. Step 2: Convert to fraction form
    221,406.16/305,547.24 = 125,926.60/x
  3. Step 3: Cross multiply
    221,406.16x = 305,547.24 × 125,926.60
  4. Step 4: Simplify right side
    221,406.16x = 38,476,525,072.58
  5. Step 5: Solve for x
    x = 38,476,525,072.58/221,406.16
  6. Step 6: Final answer
    x = 173,782.54

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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.