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Finding the Fourth Proportional to 193,101.64, 266,389.86 and 120,445

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Solution

The fourth proportional to 193,101.64, 266,389.86 and 120,445 is: 166,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,101.64 : 266,389.86 = 120,445 : x
  2. Step 2: Convert to fraction form
    193,101.64/266,389.86 = 120,445/x
  3. Step 3: Cross multiply
    193,101.64x = 266,389.86 × 120,445
  4. Step 4: Simplify right side
    193,101.64x = 32,085,326,687.70
  5. Step 5: Solve for x
    x = 32,085,326,687.70/193,101.64
  6. Step 6: Final answer
    x = 166,157.71

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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.