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Finding the Fourth Proportional to 76,082.63, 114,101.63 and 28,663.50

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Solution

The fourth proportional to 76,082.63, 114,101.63 and 28,663.50 is: 42,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082.63 : 114,101.63 = 28,663.50 : x
  2. Step 2: Convert to fraction form
    76,082.63/114,101.63 = 28,663.50/x
  3. Step 3: Cross multiply
    76,082.63x = 114,101.63 × 28,663.50
  4. Step 4: Simplify right side
    76,082.63x = 3,270,551,928.19
  5. Step 5: Solve for x
    x = 3,270,551,928.19/76,082.63
  6. Step 6: Final answer
    x = 42,986.84

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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.