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Finding the Fourth Proportional to 144,682.16, 199,656.80 and 80,148.80

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Solution

The fourth proportional to 144,682.16, 199,656.80 and 80,148.80 is: 110,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,682.16 : 199,656.80 = 80,148.80 : x
  2. Step 2: Convert to fraction form
    144,682.16/199,656.80 = 80,148.80/x
  3. Step 3: Cross multiply
    144,682.16x = 199,656.80 × 80,148.80
  4. Step 4: Simplify right side
    144,682.16x = 16,002,252,931.84
  5. Step 5: Solve for x
    x = 16,002,252,931.84/144,682.16
  6. Step 6: Final answer
    x = 110,602.81

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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.