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Finding the Fourth Proportional to 145,405.44, 200,649.36 and 81,752.64

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Solution

The fourth proportional to 145,405.44, 200,649.36 and 81,752.64 is: 112,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,405.44 : 200,649.36 = 81,752.64 : x
  2. Step 2: Convert to fraction form
    145,405.44/200,649.36 = 81,752.64/x
  3. Step 3: Cross multiply
    145,405.44x = 200,649.36 × 81,752.64
  4. Step 4: Simplify right side
    145,405.44x = 16,403,614,894.31
  5. Step 5: Solve for x
    x = 16,403,614,894.31/145,405.44
  6. Step 6: Final answer
    x = 112,812.94

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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.