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Finding the Fourth Proportional to 145,099.69, 200,238.42 and 80,569.84

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Solution

The fourth proportional to 145,099.69, 200,238.42 and 80,569.84 is: 111,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,099.69 : 200,238.42 = 80,569.84 : x
  2. Step 2: Convert to fraction form
    145,099.69/200,238.42 = 80,569.84/x
  3. Step 3: Cross multiply
    145,099.69x = 200,238.42 × 80,569.84
  4. Step 4: Simplify right side
    145,099.69x = 16,133,177,461.25
  5. Step 5: Solve for x
    x = 16,133,177,461.25/145,099.69
  6. Step 6: Final answer
    x = 111,186.85

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1.5x scale

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.