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Finding the Fourth Proportional to 78,090.88, 117,157.05 and 40,639.87

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Solution

The fourth proportional to 78,090.88, 117,157.05 and 40,639.87 is: 60,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090.88 : 117,157.05 = 40,639.87 : x
  2. Step 2: Convert to fraction form
    78,090.88/117,157.05 = 40,639.87/x
  3. Step 3: Cross multiply
    78,090.88x = 117,157.05 × 40,639.87
  4. Step 4: Simplify right side
    78,090.88x = 4,761,247,281.58
  5. Step 5: Solve for x
    x = 4,761,247,281.58/78,090.88
  6. Step 6: Final answer
    x = 60,970.59

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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.