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Finding the Fourth Proportional to 180,439.19, 248,978.62 and 102,915.50

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Solution

The fourth proportional to 180,439.19, 248,978.62 and 102,915.50 is: 142,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,439.19 : 248,978.62 = 102,915.50 : x
  2. Step 2: Convert to fraction form
    180,439.19/248,978.62 = 102,915.50/x
  3. Step 3: Cross multiply
    180,439.19x = 248,978.62 × 102,915.50
  4. Step 4: Simplify right side
    180,439.19x = 25,623,759,166.61
  5. Step 5: Solve for x
    x = 25,623,759,166.61/180,439.19
  6. Step 6: Final answer
    x = 142,007.73

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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.