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Finding the Fourth Proportional to 145,328.70, 200,551.80 and 81,677.28

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Solution

The fourth proportional to 145,328.70, 200,551.80 and 81,677.28 is: 112,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,328.70 : 200,551.80 = 81,677.28 : x
  2. Step 2: Convert to fraction form
    145,328.70/200,551.80 = 81,677.28/x
  3. Step 3: Cross multiply
    145,328.70x = 200,551.80 × 81,677.28
  4. Step 4: Simplify right side
    145,328.70x = 16,380,525,523.10
  5. Step 5: Solve for x
    x = 16,380,525,523.10/145,328.70
  6. Step 6: Final answer
    x = 112,713.63

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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.