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Finding the Fourth Proportional to 100,412.84, 138,575.94 and 55,700.84

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Solution

The fourth proportional to 100,412.84, 138,575.94 and 55,700.84 is: 76,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.84 : 138,575.94 = 55,700.84 : x
  2. Step 2: Convert to fraction form
    100,412.84/138,575.94 = 55,700.84/x
  3. Step 3: Cross multiply
    100,412.84x = 138,575.94 × 55,700.84
  4. Step 4: Simplify right side
    100,412.84x = 7,718,796,261.79
  5. Step 5: Solve for x
    x = 7,718,796,261.79/100,412.84
  6. Step 6: Final answer
    x = 76,870.61

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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.