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Finding the Fourth Proportional to 132,978.48, 183,511.36 and 72,549.60

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Solution

The fourth proportional to 132,978.48, 183,511.36 and 72,549.60 is: 100,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978.48 : 183,511.36 = 72,549.60 : x
  2. Step 2: Convert to fraction form
    132,978.48/183,511.36 = 72,549.60/x
  3. Step 3: Cross multiply
    132,978.48x = 183,511.36 × 72,549.60
  4. Step 4: Simplify right side
    132,978.48x = 13,313,675,763.46
  5. Step 5: Solve for x
    x = 13,313,675,763.46/132,978.48
  6. Step 6: Final answer
    x = 100,119.02

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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.