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Finding the Fourth Proportional to 122,711.85, 183,970.58 and 67,307.85

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Solution

The fourth proportional to 122,711.85, 183,970.58 and 67,307.85 is: 100,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711.85 : 183,970.58 = 67,307.85 : x
  2. Step 2: Convert to fraction form
    122,711.85/183,970.58 = 67,307.85/x
  3. Step 3: Cross multiply
    122,711.85x = 183,970.58 × 67,307.85
  4. Step 4: Simplify right side
    122,711.85x = 12,382,663,866.51
  5. Step 5: Solve for x
    x = 12,382,663,866.51/122,711.85
  6. Step 6: Final answer
    x = 100,908.46

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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.