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Finding the Fourth Proportional to 189,472.72, 283,962.93 and 77,021.96

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Solution

The fourth proportional to 189,472.72, 283,962.93 and 77,021.96 is: 115,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,472.72 : 283,962.93 = 77,021.96 : x
  2. Step 2: Convert to fraction form
    189,472.72/283,962.93 = 77,021.96/x
  3. Step 3: Cross multiply
    189,472.72x = 283,962.93 × 77,021.96
  4. Step 4: Simplify right side
    189,472.72x = 21,871,381,760.74
  5. Step 5: Solve for x
    x = 21,871,381,760.74/189,472.72
  6. Step 6: Final answer
    x = 115,432.88

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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.