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Finding the Fourth Proportional to 122,415.52, 168,978 and 72,156.64

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Solution

The fourth proportional to 122,415.52, 168,978 and 72,156.64 is: 99,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,415.52 : 168,978 = 72,156.64 : x
  2. Step 2: Convert to fraction form
    122,415.52/168,978 = 72,156.64/x
  3. Step 3: Cross multiply
    122,415.52x = 168,978 × 72,156.64
  4. Step 4: Simplify right side
    122,415.52x = 12,192,884,713.92
  5. Step 5: Solve for x
    x = 12,192,884,713.92/122,415.52
  6. Step 6: Final answer
    x = 99,602.44

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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.