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Finding the Fourth Proportional to 100,613, 138,846.48 and 55,901

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Solution

The fourth proportional to 100,613, 138,846.48 and 55,901 is: 77,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613 : 138,846.48 = 55,901 : x
  2. Step 2: Convert to fraction form
    100,613/138,846.48 = 55,901/x
  3. Step 3: Cross multiply
    100,613x = 138,846.48 × 55,901
  4. Step 4: Simplify right side
    100,613x = 7,761,657,078.48
  5. Step 5: Solve for x
    x = 7,761,657,078.48/100,613
  6. Step 6: Final answer
    x = 77,143.68

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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.