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Finding the Fourth Proportional to 145,452.96, 200,782.26 and 91,727.28

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Solution

The fourth proportional to 145,452.96, 200,782.26 and 91,727.28 is: 126,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,452.96 : 200,782.26 = 91,727.28 : x
  2. Step 2: Convert to fraction form
    145,452.96/200,782.26 = 91,727.28/x
  3. Step 3: Cross multiply
    145,452.96x = 200,782.26 × 91,727.28
  4. Step 4: Simplify right side
    145,452.96x = 18,417,210,582.05
  5. Step 5: Solve for x
    x = 18,417,210,582.05/145,452.96
  6. Step 6: Final answer
    x = 126,619.70

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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.