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Finding the Fourth Proportional to 145,631.88, 200,978.46 and 81,973.80

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Solution

The fourth proportional to 145,631.88, 200,978.46 and 81,973.80 is: 113,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,631.88 : 200,978.46 = 81,973.80 : x
  2. Step 2: Convert to fraction form
    145,631.88/200,978.46 = 81,973.80/x
  3. Step 3: Cross multiply
    145,631.88x = 200,978.46 × 81,973.80
  4. Step 4: Simplify right side
    145,631.88x = 16,474,968,084.35
  5. Step 5: Solve for x
    x = 16,474,968,084.35/145,631.88
  6. Step 6: Final answer
    x = 113,127.48

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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.