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Finding the Fourth Proportional to 75,806, 104,612.28 and 42,271.28

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Solution

The fourth proportional to 75,806, 104,612.28 and 42,271.28 is: 58,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,806 : 104,612.28 = 42,271.28 : x
  2. Step 2: Convert to fraction form
    75,806/104,612.28 = 42,271.28/x
  3. Step 3: Cross multiply
    75,806x = 104,612.28 × 42,271.28
  4. Step 4: Simplify right side
    75,806x = 4,422,094,979.32
  5. Step 5: Solve for x
    x = 4,422,094,979.32/75,806
  6. Step 6: Final answer
    x = 58,334.37

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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.