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Finding the Fourth Proportional to 145,412, 200,666.64 and 80,880.80

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Solution

The fourth proportional to 145,412, 200,666.64 and 80,880.80 is: 111,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412 : 200,666.64 = 80,880.80 : x
  2. Step 2: Convert to fraction form
    145,412/200,666.64 = 80,880.80/x
  3. Step 3: Cross multiply
    145,412x = 200,666.64 × 80,880.80
  4. Step 4: Simplify right side
    145,412x = 16,230,078,376.51
  5. Step 5: Solve for x
    x = 16,230,078,376.51/145,412
  6. Step 6: Final answer
    x = 111,614.44

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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.