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Finding the Fourth Proportional to 78,533.97, 117,800.41 and 31,786.17

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Solution

The fourth proportional to 78,533.97, 117,800.41 and 31,786.17 is: 47,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,533.97 : 117,800.41 = 31,786.17 : x
  2. Step 2: Convert to fraction form
    78,533.97/117,800.41 = 31,786.17/x
  3. Step 3: Cross multiply
    78,533.97x = 117,800.41 × 31,786.17
  4. Step 4: Simplify right side
    78,533.97x = 3,744,423,699.40
  5. Step 5: Solve for x
    x = 3,744,423,699.40/78,533.97
  6. Step 6: Final answer
    x = 47,679.03

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1.5x scale

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.