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Finding the Fourth Proportional to 101,523.42, 139,968.09 and 83,307.42

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Solution

The fourth proportional to 101,523.42, 139,968.09 and 83,307.42 is: 114,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523.42 : 139,968.09 = 83,307.42 : x
  2. Step 2: Convert to fraction form
    101,523.42/139,968.09 = 83,307.42/x
  3. Step 3: Cross multiply
    101,523.42x = 139,968.09 × 83,307.42
  4. Step 4: Simplify right side
    101,523.42x = 11,660,380,460.23
  5. Step 5: Solve for x
    x = 11,660,380,460.23/101,523.42
  6. Step 6: Final answer
    x = 114,854.09

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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.