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Finding the Fourth Proportional to 100,407.51, 138,571.32 and 55,094.31

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Solution

The fourth proportional to 100,407.51, 138,571.32 and 55,094.31 is: 76,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.51 : 138,571.32 = 55,094.31 : x
  2. Step 2: Convert to fraction form
    100,407.51/138,571.32 = 55,094.31/x
  3. Step 3: Cross multiply
    100,407.51x = 138,571.32 × 55,094.31
  4. Step 4: Simplify right side
    100,407.51x = 7,634,490,943.06
  5. Step 5: Solve for x
    x = 7,634,490,943.06/100,407.51
  6. Step 6: Final answer
    x = 76,035.06

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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.