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Finding the Fourth Proportional to 100,683.16, 138,738.02 and 77,883.68

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Solution

The fourth proportional to 100,683.16, 138,738.02 and 77,883.68 is: 107,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.16 : 138,738.02 = 77,883.68 : x
  2. Step 2: Convert to fraction form
    100,683.16/138,738.02 = 77,883.68/x
  3. Step 3: Cross multiply
    100,683.16x = 138,738.02 × 77,883.68
  4. Step 4: Simplify right side
    100,683.16x = 10,805,427,553.51
  5. Step 5: Solve for x
    x = 10,805,427,553.51/100,683.16
  6. Step 6: Final answer
    x = 107,321.10

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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.