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Finding the Fourth Proportional to 137,000.52, 189,057 and 76,571.64

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Solution

The fourth proportional to 137,000.52, 189,057 and 76,571.64 is: 105,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,000.52 : 189,057 = 76,571.64 : x
  2. Step 2: Convert to fraction form
    137,000.52/189,057 = 76,571.64/x
  3. Step 3: Cross multiply
    137,000.52x = 189,057 × 76,571.64
  4. Step 4: Simplify right side
    137,000.52x = 14,476,404,543.48
  5. Step 5: Solve for x
    x = 14,476,404,543.48/137,000.52
  6. Step 6: Final answer
    x = 105,666.79

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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.