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Finding the Fourth Proportional to 140,487.48, 193,885.65 and 83,897.64

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Solution

The fourth proportional to 140,487.48, 193,885.65 and 83,897.64 is: 115,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,487.48 : 193,885.65 = 83,897.64 : x
  2. Step 2: Convert to fraction form
    140,487.48/193,885.65 = 83,897.64/x
  3. Step 3: Cross multiply
    140,487.48x = 193,885.65 × 83,897.64
  4. Step 4: Simplify right side
    140,487.48x = 16,266,548,464.87
  5. Step 5: Solve for x
    x = 16,266,548,464.87/140,487.48
  6. Step 6: Final answer
    x = 115,786.46

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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.