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Finding the Fourth Proportional to 200,407.80, 276,565.88 and 109,762.12

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Solution

The fourth proportional to 200,407.80, 276,565.88 and 109,762.12 is: 151,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,407.80 : 276,565.88 = 109,762.12 : x
  2. Step 2: Convert to fraction form
    200,407.80/276,565.88 = 109,762.12/x
  3. Step 3: Cross multiply
    200,407.80x = 276,565.88 × 109,762.12
  4. Step 4: Simplify right side
    200,407.80x = 30,356,457,308.47
  5. Step 5: Solve for x
    x = 30,356,457,308.47/200,407.80
  6. Step 6: Final answer
    x = 151,473.43

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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.