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Finding the Fourth Proportional to 76,509.79, 114,755.54 and 20,354

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Solution

The fourth proportional to 76,509.79, 114,755.54 and 20,354 is: 30,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.79 : 114,755.54 = 20,354 : x
  2. Step 2: Convert to fraction form
    76,509.79/114,755.54 = 20,354/x
  3. Step 3: Cross multiply
    76,509.79x = 114,755.54 × 20,354
  4. Step 4: Simplify right side
    76,509.79x = 2,335,734,159.39
  5. Step 5: Solve for x
    x = 2,335,734,159.39/76,509.79
  6. Step 6: Final answer
    x = 30,528.57

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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.