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Finding the Fourth Proportional to 100,299.16, 138,407.70 and 57,855.16

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Solution

The fourth proportional to 100,299.16, 138,407.70 and 57,855.16 is: 79,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299.16 : 138,407.70 = 57,855.16 : x
  2. Step 2: Convert to fraction form
    100,299.16/138,407.70 = 57,855.16/x
  3. Step 3: Cross multiply
    100,299.16x = 138,407.70 × 57,855.16
  4. Step 4: Simplify right side
    100,299.16x = 8,007,599,628.73
  5. Step 5: Solve for x
    x = 8,007,599,628.73/100,299.16
  6. Step 6: Final answer
    x = 79,837.16

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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.