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Finding the Fourth Proportional to 145,347.81, 200,596.60 and 80,823.48

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Solution

The fourth proportional to 145,347.81, 200,596.60 and 80,823.48 is: 111,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,347.81 : 200,596.60 = 80,823.48 : x
  2. Step 2: Convert to fraction form
    145,347.81/200,596.60 = 80,823.48/x
  3. Step 3: Cross multiply
    145,347.81x = 200,596.60 × 80,823.48
  4. Step 4: Simplify right side
    145,347.81x = 16,212,914,285.19
  5. Step 5: Solve for x
    x = 16,212,914,285.19/145,347.81
  6. Step 6: Final answer
    x = 111,545.64

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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.