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Finding the Fourth Proportional to 78,347.28, 117,533.88 and 38,905.68

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Solution

The fourth proportional to 78,347.28, 117,533.88 and 38,905.68 is: 58,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,347.28 : 117,533.88 = 38,905.68 : x
  2. Step 2: Convert to fraction form
    78,347.28/117,533.88 = 38,905.68/x
  3. Step 3: Cross multiply
    78,347.28x = 117,533.88 × 38,905.68
  4. Step 4: Simplify right side
    78,347.28x = 4,572,735,524.44
  5. Step 5: Solve for x
    x = 4,572,735,524.44/78,347.28
  6. Step 6: Final answer
    x = 58,364.96

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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.