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Finding the Fourth Proportional to 145,533.64, 200,836.12 and 81,871.48

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Solution

The fourth proportional to 145,533.64, 200,836.12 and 81,871.48 is: 112,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,533.64 : 200,836.12 = 81,871.48 : x
  2. Step 2: Convert to fraction form
    145,533.64/200,836.12 = 81,871.48/x
  3. Step 3: Cross multiply
    145,533.64x = 200,836.12 × 81,871.48
  4. Step 4: Simplify right side
    145,533.64x = 16,442,750,381.86
  5. Step 5: Solve for x
    x = 16,442,750,381.86/145,533.64
  6. Step 6: Final answer
    x = 112,982.47

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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.