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Finding the Fourth Proportional to 78,566.40, 117,881.10 and 35,892.03

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Solution

The fourth proportional to 78,566.40, 117,881.10 and 35,892.03 is: 53,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,566.40 : 117,881.10 = 35,892.03 : x
  2. Step 2: Convert to fraction form
    78,566.40/117,881.10 = 35,892.03/x
  3. Step 3: Cross multiply
    78,566.40x = 117,881.10 × 35,892.03
  4. Step 4: Simplify right side
    78,566.40x = 4,230,991,977.63
  5. Step 5: Solve for x
    x = 4,230,991,977.63/78,566.40
  6. Step 6: Final answer
    x = 53,852.44

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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.