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Finding the Fourth Proportional to 66,939.84, 100,287.36 and 31,335.84

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Solution

The fourth proportional to 66,939.84, 100,287.36 and 31,335.84 is: 46,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939.84 : 100,287.36 = 31,335.84 : x
  2. Step 2: Convert to fraction form
    66,939.84/100,287.36 = 31,335.84/x
  3. Step 3: Cross multiply
    66,939.84x = 100,287.36 × 31,335.84
  4. Step 4: Simplify right side
    66,939.84x = 3,142,588,666.98
  5. Step 5: Solve for x
    x = 3,142,588,666.98/66,939.84
  6. Step 6: Final answer
    x = 46,946.46

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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.