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Finding the Fourth Proportional to 122,405.76, 183,582.72 and 39,280.32

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Solution

The fourth proportional to 122,405.76, 183,582.72 and 39,280.32 is: 58,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,405.76 : 183,582.72 = 39,280.32 : x
  2. Step 2: Convert to fraction form
    122,405.76/183,582.72 = 39,280.32/x
  3. Step 3: Cross multiply
    122,405.76x = 183,582.72 × 39,280.32
  4. Step 4: Simplify right side
    122,405.76x = 7,211,187,988.07
  5. Step 5: Solve for x
    x = 7,211,187,988.07/122,405.76
  6. Step 6: Final answer
    x = 58,912.16

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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.