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Finding the Fourth Proportional to 282,077.80, 423,135.90 and 82,397.80

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Solution

The fourth proportional to 282,077.80, 423,135.90 and 82,397.80 is: 123,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,077.80 : 423,135.90 = 82,397.80 : x
  2. Step 2: Convert to fraction form
    282,077.80/423,135.90 = 82,397.80/x
  3. Step 3: Cross multiply
    282,077.80x = 423,135.90 × 82,397.80
  4. Step 4: Simplify right side
    282,077.80x = 34,865,467,261.02
  5. Step 5: Solve for x
    x = 34,865,467,261.02/282,077.80
  6. Step 6: Final answer
    x = 123,602.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.