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Finding the Fourth Proportional to 100,259.15, 138,357.65 and 54,936.76

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Solution

The fourth proportional to 100,259.15, 138,357.65 and 54,936.76 is: 75,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,259.15 : 138,357.65 = 54,936.76 : x
  2. Step 2: Convert to fraction form
    100,259.15/138,357.65 = 54,936.76/x
  3. Step 3: Cross multiply
    100,259.15x = 138,357.65 × 54,936.76
  4. Step 4: Simplify right side
    100,259.15x = 7,600,921,012.21
  5. Step 5: Solve for x
    x = 7,600,921,012.21/100,259.15
  6. Step 6: Final answer
    x = 75,812.74

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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.