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Finding the Fourth Proportional to 78,716.47, 118,092.24 and 28,795.46

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Solution

The fourth proportional to 78,716.47, 118,092.24 and 28,795.46 is: 43,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716.47 : 118,092.24 = 28,795.46 : x
  2. Step 2: Convert to fraction form
    78,716.47/118,092.24 = 28,795.46/x
  3. Step 3: Cross multiply
    78,716.47x = 118,092.24 × 28,795.46
  4. Step 4: Simplify right side
    78,716.47x = 3,400,520,373.23
  5. Step 5: Solve for x
    x = 3,400,520,373.23/78,716.47
  6. Step 6: Final answer
    x = 43,199.60

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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.