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Finding the Fourth Proportional to 100,642.77, 138,884.09 and 55,320.71

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Solution

The fourth proportional to 100,642.77, 138,884.09 and 55,320.71 is: 76,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642.77 : 138,884.09 = 55,320.71 : x
  2. Step 2: Convert to fraction form
    100,642.77/138,884.09 = 55,320.71/x
  3. Step 3: Cross multiply
    100,642.77x = 138,884.09 × 55,320.71
  4. Step 4: Simplify right side
    100,642.77x = 7,683,165,495.48
  5. Step 5: Solve for x
    x = 7,683,165,495.48/100,642.77
  6. Step 6: Final answer
    x = 76,340.96

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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.