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Finding the Fourth Proportional to 100,037.34, 138,123.81 and 61,849.24

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Solution

The fourth proportional to 100,037.34, 138,123.81 and 61,849.24 is: 85,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,037.34 : 138,123.81 = 61,849.24 : x
  2. Step 2: Convert to fraction form
    100,037.34/138,123.81 = 61,849.24/x
  3. Step 3: Cross multiply
    100,037.34x = 138,123.81 × 61,849.24
  4. Step 4: Simplify right side
    100,037.34x = 8,542,852,674.40
  5. Step 5: Solve for x
    x = 8,542,852,674.40/100,037.34
  6. Step 6: Final answer
    x = 85,396.64

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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.