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Finding the Fourth Proportional to 78,232.68, 117,366.30 and 36,657

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Solution

The fourth proportional to 78,232.68, 117,366.30 and 36,657 is: 54,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232.68 : 117,366.30 = 36,657 : x
  2. Step 2: Convert to fraction form
    78,232.68/117,366.30 = 36,657/x
  3. Step 3: Cross multiply
    78,232.68x = 117,366.30 × 36,657
  4. Step 4: Simplify right side
    78,232.68x = 4,302,296,459.10
  5. Step 5: Solve for x
    x = 4,302,296,459.10/78,232.68
  6. Step 6: Final answer
    x = 54,993.60

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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.