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Finding the Fourth Proportional to 78,611.90, 117,824.97 and 77,734.94

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Solution

The fourth proportional to 78,611.90, 117,824.97 and 77,734.94 is: 116,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,611.90 : 117,824.97 = 77,734.94 : x
  2. Step 2: Convert to fraction form
    78,611.90/117,824.97 = 77,734.94/x
  3. Step 3: Cross multiply
    78,611.90x = 117,824.97 × 77,734.94
  4. Step 4: Simplify right side
    78,611.90x = 9,159,116,973.45
  5. Step 5: Solve for x
    x = 9,159,116,973.45/78,611.90
  6. Step 6: Final answer
    x = 116,510.57

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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.