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Finding the Fourth Proportional to 78,577.76, 117,772.96 and 54,756.32

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Solution

The fourth proportional to 78,577.76, 117,772.96 and 54,756.32 is: 82,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,577.76 : 117,772.96 = 54,756.32 : x
  2. Step 2: Convert to fraction form
    78,577.76/117,772.96 = 54,756.32/x
  3. Step 3: Cross multiply
    78,577.76x = 117,772.96 × 54,756.32
  4. Step 4: Simplify right side
    78,577.76x = 6,448,813,885.11
  5. Step 5: Solve for x
    x = 6,448,813,885.11/78,577.76
  6. Step 6: Final answer
    x = 82,069.20

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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.