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Finding the Fourth Proportional to 139,283.06, 192,220.80 and 78,034.64

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Solution

The fourth proportional to 139,283.06, 192,220.80 and 78,034.64 is: 107,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,283.06 : 192,220.80 = 78,034.64 : x
  2. Step 2: Convert to fraction form
    139,283.06/192,220.80 = 78,034.64/x
  3. Step 3: Cross multiply
    139,283.06x = 192,220.80 × 78,034.64
  4. Step 4: Simplify right side
    139,283.06x = 14,999,880,928.51
  5. Step 5: Solve for x
    x = 14,999,880,928.51/139,283.06
  6. Step 6: Final answer
    x = 107,693.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.