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Finding the Fourth Proportional to 78,206.56, 117,219.04 and 35,998

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Solution

The fourth proportional to 78,206.56, 117,219.04 and 35,998 is: 53,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206.56 : 117,219.04 = 35,998 : x
  2. Step 2: Convert to fraction form
    78,206.56/117,219.04 = 35,998/x
  3. Step 3: Cross multiply
    78,206.56x = 117,219.04 × 35,998
  4. Step 4: Simplify right side
    78,206.56x = 4,219,651,001.92
  5. Step 5: Solve for x
    x = 4,219,651,001.92/78,206.56
  6. Step 6: Final answer
    x = 53,955.21

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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.