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Finding the Fourth Proportional to 122,711.95, 183,957.19 and 85,289.64

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Solution

The fourth proportional to 122,711.95, 183,957.19 and 85,289.64 is: 127,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711.95 : 183,957.19 = 85,289.64 : x
  2. Step 2: Convert to fraction form
    122,711.95/183,957.19 = 85,289.64/x
  3. Step 3: Cross multiply
    122,711.95x = 183,957.19 × 85,289.64
  4. Step 4: Simplify right side
    122,711.95x = 15,689,642,297.29
  5. Step 5: Solve for x
    x = 15,689,642,297.29/122,711.95
  6. Step 6: Final answer
    x = 127,857.50

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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.