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Finding the Fourth Proportional to 127,415.43, 175,822.83 and 75,019.08

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Solution

The fourth proportional to 127,415.43, 175,822.83 and 75,019.08 is: 103,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,415.43 : 175,822.83 = 75,019.08 : x
  2. Step 2: Convert to fraction form
    127,415.43/175,822.83 = 75,019.08/x
  3. Step 3: Cross multiply
    127,415.43x = 175,822.83 × 75,019.08
  4. Step 4: Simplify right side
    127,415.43x = 13,190,066,949.60
  5. Step 5: Solve for x
    x = 13,190,066,949.60/127,415.43
  6. Step 6: Final answer
    x = 103,520.17

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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.