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Finding the Fourth Proportional to 140,775.90, 194,224.23 and 86,307.90

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Solution

The fourth proportional to 140,775.90, 194,224.23 and 86,307.90 is: 119,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,775.90 : 194,224.23 = 86,307.90 : x
  2. Step 2: Convert to fraction form
    140,775.90/194,224.23 = 86,307.90/x
  3. Step 3: Cross multiply
    140,775.90x = 194,224.23 × 86,307.90
  4. Step 4: Simplify right side
    140,775.90x = 16,763,085,420.42
  5. Step 5: Solve for x
    x = 16,763,085,420.42/140,775.90
  6. Step 6: Final answer
    x = 119,076.39

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1.5x scale

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.