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Finding the Fourth Proportional to 85,307.96, 127,978.32 and 32,713.34

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Solution

The fourth proportional to 85,307.96, 127,978.32 and 32,713.34 is: 49,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,307.96 : 127,978.32 = 32,713.34 : x
  2. Step 2: Convert to fraction form
    85,307.96/127,978.32 = 32,713.34/x
  3. Step 3: Cross multiply
    85,307.96x = 127,978.32 × 32,713.34
  4. Step 4: Simplify right side
    85,307.96x = 4,186,598,294.79
  5. Step 5: Solve for x
    x = 4,186,598,294.79/85,307.96
  6. Step 6: Final answer
    x = 49,076.29

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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.