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Finding the Fourth Proportional to 100,029.17, 138,090.44 and 77,316.87

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Solution

The fourth proportional to 100,029.17, 138,090.44 and 77,316.87 is: 106,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.17 : 138,090.44 = 77,316.87 : x
  2. Step 2: Convert to fraction form
    100,029.17/138,090.44 = 77,316.87/x
  3. Step 3: Cross multiply
    100,029.17x = 138,090.44 × 77,316.87
  4. Step 4: Simplify right side
    100,029.17x = 10,676,720,597.72
  5. Step 5: Solve for x
    x = 10,676,720,597.72/100,029.17
  6. Step 6: Final answer
    x = 106,736.07

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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.