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Finding the Fourth Proportional to 74,571.52, 102,908.88 and 40,580

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Solution

The fourth proportional to 74,571.52, 102,908.88 and 40,580 is: 56,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,571.52 : 102,908.88 = 40,580 : x
  2. Step 2: Convert to fraction form
    74,571.52/102,908.88 = 40,580/x
  3. Step 3: Cross multiply
    74,571.52x = 102,908.88 × 40,580
  4. Step 4: Simplify right side
    74,571.52x = 4,176,042,350.40
  5. Step 5: Solve for x
    x = 4,176,042,350.40/74,571.52
  6. Step 6: Final answer
    x = 56,000.50

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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.