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Finding the Fourth Proportional to 100,299.94, 138,417.32 and 54,977.92

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Solution

The fourth proportional to 100,299.94, 138,417.32 and 54,977.92 is: 75,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299.94 : 138,417.32 = 54,977.92 : x
  2. Step 2: Convert to fraction form
    100,299.94/138,417.32 = 54,977.92/x
  3. Step 3: Cross multiply
    100,299.94x = 138,417.32 × 54,977.92
  4. Step 4: Simplify right side
    100,299.94x = 7,609,896,136.98
  5. Step 5: Solve for x
    x = 7,609,896,136.98/100,299.94
  6. Step 6: Final answer
    x = 75,871.39

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1.5x scale

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.