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Finding the Fourth Proportional to 78,193.64, 117,199.74 and 35,985.12

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Solution

The fourth proportional to 78,193.64, 117,199.74 and 35,985.12 is: 53,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.64 : 117,199.74 = 35,985.12 : x
  2. Step 2: Convert to fraction form
    78,193.64/117,199.74 = 35,985.12/x
  3. Step 3: Cross multiply
    78,193.64x = 117,199.74 × 35,985.12
  4. Step 4: Simplify right side
    78,193.64x = 4,217,446,707.87
  5. Step 5: Solve for x
    x = 4,217,446,707.87/78,193.64
  6. Step 6: Final answer
    x = 53,935.93

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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.