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Finding the Fourth Proportional to 189,825.76, 284,630.80 and 77,374.26

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Solution

The fourth proportional to 189,825.76, 284,630.80 and 77,374.26 is: 116,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,825.76 : 284,630.80 = 77,374.26 : x
  2. Step 2: Convert to fraction form
    189,825.76/284,630.80 = 77,374.26/x
  3. Step 3: Cross multiply
    189,825.76x = 284,630.80 × 77,374.26
  4. Step 4: Simplify right side
    189,825.76x = 22,023,097,523.21
  5. Step 5: Solve for x
    x = 22,023,097,523.21/189,825.76
  6. Step 6: Final answer
    x = 116,017.43

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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.