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Finding the Fourth Proportional to 147,765.21, 221,975.86 and 91,646.79

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Solution

The fourth proportional to 147,765.21, 221,975.86 and 91,646.79 is: 137,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,765.21 : 221,975.86 = 91,646.79 : x
  2. Step 2: Convert to fraction form
    147,765.21/221,975.86 = 91,646.79/x
  3. Step 3: Cross multiply
    147,765.21x = 221,975.86 × 91,646.79
  4. Step 4: Simplify right side
    147,765.21x = 20,343,375,026.49
  5. Step 5: Solve for x
    x = 20,343,375,026.49/147,765.21
  6. Step 6: Final answer
    x = 137,673.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.