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Finding the Fourth Proportional to 145,614.75, 200,909.07 and 85,200.23

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Solution

The fourth proportional to 145,614.75, 200,909.07 and 85,200.23 is: 117,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614.75 : 200,909.07 = 85,200.23 : x
  2. Step 2: Convert to fraction form
    145,614.75/200,909.07 = 85,200.23/x
  3. Step 3: Cross multiply
    145,614.75x = 200,909.07 × 85,200.23
  4. Step 4: Simplify right side
    145,614.75x = 17,117,497,968.54
  5. Step 5: Solve for x
    x = 17,117,497,968.54/145,614.75
  6. Step 6: Final answer
    x = 117,553.32

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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.