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Finding the Fourth Proportional to 101,523.92, 139,968.78 and 83,307.92

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Solution

The fourth proportional to 101,523.92, 139,968.78 and 83,307.92 is: 114,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523.92 : 139,968.78 = 83,307.92 : x
  2. Step 2: Convert to fraction form
    101,523.92/139,968.78 = 83,307.92/x
  3. Step 3: Cross multiply
    101,523.92x = 139,968.78 × 83,307.92
  4. Step 4: Simplify right side
    101,523.92x = 11,660,507,926.74
  5. Step 5: Solve for x
    x = 11,660,507,926.74/101,523.92
  6. Step 6: Final answer
    x = 114,854.78

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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.