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Finding the Fourth Proportional to 78,341.40, 117,532.35 and 33,957.90

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Solution

The fourth proportional to 78,341.40, 117,532.35 and 33,957.90 is: 50,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341.40 : 117,532.35 = 33,957.90 : x
  2. Step 2: Convert to fraction form
    78,341.40/117,532.35 = 33,957.90/x
  3. Step 3: Cross multiply
    78,341.40x = 117,532.35 × 33,957.90
  4. Step 4: Simplify right side
    78,341.40x = 3,991,151,788.07
  5. Step 5: Solve for x
    x = 3,991,151,788.07/78,341.40
  6. Step 6: Final answer
    x = 50,945.63

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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.