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Finding the Fourth Proportional to 145,587.28, 200,905.20 and 81,054.56

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Solution

The fourth proportional to 145,587.28, 200,905.20 and 81,054.56 is: 111,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,587.28 : 200,905.20 = 81,054.56 : x
  2. Step 2: Convert to fraction form
    145,587.28/200,905.20 = 81,054.56/x
  3. Step 3: Cross multiply
    145,587.28x = 200,905.20 × 81,054.56
  4. Step 4: Simplify right side
    145,587.28x = 16,284,282,587.71
  5. Step 5: Solve for x
    x = 16,284,282,587.71/145,587.28
  6. Step 6: Final answer
    x = 111,852.37

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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.