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Finding the Fourth Proportional to 122,406.80, 183,869.40 and 118,000.40

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Solution

The fourth proportional to 122,406.80, 183,869.40 and 118,000.40 is: 177,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,406.80 : 183,869.40 = 118,000.40 : x
  2. Step 2: Convert to fraction form
    122,406.80/183,869.40 = 118,000.40/x
  3. Step 3: Cross multiply
    122,406.80x = 183,869.40 × 118,000.40
  4. Step 4: Simplify right side
    122,406.80x = 21,696,662,747.76
  5. Step 5: Solve for x
    x = 21,696,662,747.76/122,406.80
  6. Step 6: Final answer
    x = 177,250.47

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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.