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Finding the Fourth Proportional to 100,332.36, 138,460 and 55,010.24

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Solution

The fourth proportional to 100,332.36, 138,460 and 55,010.24 is: 75,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,332.36 : 138,460 = 55,010.24 : x
  2. Step 2: Convert to fraction form
    100,332.36/138,460 = 55,010.24/x
  3. Step 3: Cross multiply
    100,332.36x = 138,460 × 55,010.24
  4. Step 4: Simplify right side
    100,332.36x = 7,616,717,830.40
  5. Step 5: Solve for x
    x = 7,616,717,830.40/100,332.36
  6. Step 6: Final answer
    x = 75,914.87

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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.