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Finding the Fourth Proportional to 75,721.50, 104,496.08 and 42,187.50

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Solution

The fourth proportional to 75,721.50, 104,496.08 and 42,187.50 is: 58,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,721.50 : 104,496.08 = 42,187.50 : x
  2. Step 2: Convert to fraction form
    75,721.50/104,496.08 = 42,187.50/x
  3. Step 3: Cross multiply
    75,721.50x = 104,496.08 × 42,187.50
  4. Step 4: Simplify right side
    75,721.50x = 4,408,428,164.06
  5. Step 5: Solve for x
    x = 4,408,428,164.06/75,721.50
  6. Step 6: Final answer
    x = 58,218.98

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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.