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Finding the Fourth Proportional to 78,695.36, 108,596.43 and 42,884.60

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Solution

The fourth proportional to 78,695.36, 108,596.43 and 42,884.60 is: 59,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.36 : 108,596.43 = 42,884.60 : x
  2. Step 2: Convert to fraction form
    78,695.36/108,596.43 = 42,884.60/x
  3. Step 3: Cross multiply
    78,695.36x = 108,596.43 × 42,884.60
  4. Step 4: Simplify right side
    78,695.36x = 4,657,114,733.47
  5. Step 5: Solve for x
    x = 4,657,114,733.47/78,695.36
  6. Step 6: Final answer
    x = 59,179.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.