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Finding the Fourth Proportional to 139,835.64, 209,642.58 and 73,263

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Solution

The fourth proportional to 139,835.64, 209,642.58 and 73,263 is: 109,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,835.64 : 209,642.58 = 73,263 : x
  2. Step 2: Convert to fraction form
    139,835.64/209,642.58 = 73,263/x
  3. Step 3: Cross multiply
    139,835.64x = 209,642.58 × 73,263
  4. Step 4: Simplify right side
    139,835.64x = 15,359,044,338.54
  5. Step 5: Solve for x
    x = 15,359,044,338.54/139,835.64
  6. Step 6: Final answer
    x = 109,836.41

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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.