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Finding the Fourth Proportional to 140,765.22, 194,256.08 and 77,104.08

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Solution

The fourth proportional to 140,765.22, 194,256.08 and 77,104.08 is: 106,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,765.22 : 194,256.08 = 77,104.08 : x
  2. Step 2: Convert to fraction form
    140,765.22/194,256.08 = 77,104.08/x
  3. Step 3: Cross multiply
    140,765.22x = 194,256.08 × 77,104.08
  4. Step 4: Simplify right side
    140,765.22x = 14,977,936,332.81
  5. Step 5: Solve for x
    x = 14,977,936,332.81/140,765.22
  6. Step 6: Final answer
    x = 106,403.67

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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.