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Finding the Fourth Proportional to 78,032.40, 117,059.40 and 30,638.40

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Solution

The fourth proportional to 78,032.40, 117,059.40 and 30,638.40 is: 45,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,032.40 : 117,059.40 = 30,638.40 : x
  2. Step 2: Convert to fraction form
    78,032.40/117,059.40 = 30,638.40/x
  3. Step 3: Cross multiply
    78,032.40x = 117,059.40 × 30,638.40
  4. Step 4: Simplify right side
    78,032.40x = 3,586,512,720.96
  5. Step 5: Solve for x
    x = 3,586,512,720.96/78,032.40
  6. Step 6: Final answer
    x = 45,961.84

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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.