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Finding the Fourth Proportional to 122,493.60, 183,643.20 and 67,089.60

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Solution

The fourth proportional to 122,493.60, 183,643.20 and 67,089.60 is: 100,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,493.60 : 183,643.20 = 67,089.60 : x
  2. Step 2: Convert to fraction form
    122,493.60/183,643.20 = 67,089.60/x
  3. Step 3: Cross multiply
    122,493.60x = 183,643.20 × 67,089.60
  4. Step 4: Simplify right side
    122,493.60x = 12,320,548,830.72
  5. Step 5: Solve for x
    x = 12,320,548,830.72/122,493.60
  6. Step 6: Final answer
    x = 100,581.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.