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Finding the Fourth Proportional to 178,364, 246,142.32 and 102,912.50

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Solution

The fourth proportional to 178,364, 246,142.32 and 102,912.50 is: 142,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,364 : 246,142.32 = 102,912.50 : x
  2. Step 2: Convert to fraction form
    178,364/246,142.32 = 102,912.50/x
  3. Step 3: Cross multiply
    178,364x = 246,142.32 × 102,912.50
  4. Step 4: Simplify right side
    178,364x = 25,331,121,507
  5. Step 5: Solve for x
    x = 25,331,121,507/178,364
  6. Step 6: Final answer
    x = 142,019.25

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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.