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Finding the Fourth Proportional to 100,406.80, 138,537.62 and 56,800.36

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Solution

The fourth proportional to 100,406.80, 138,537.62 and 56,800.36 is: 78,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.80 : 138,537.62 = 56,800.36 : x
  2. Step 2: Convert to fraction form
    100,406.80/138,537.62 = 56,800.36/x
  3. Step 3: Cross multiply
    100,406.80x = 138,537.62 × 56,800.36
  4. Step 4: Simplify right side
    100,406.80x = 7,868,986,689.54
  5. Step 5: Solve for x
    x = 7,868,986,689.54/100,406.80
  6. Step 6: Final answer
    x = 78,371.05

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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.