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Finding the Fourth Proportional to 75,087.81, 103,632.80 and 42,822.49

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Solution

The fourth proportional to 75,087.81, 103,632.80 and 42,822.49 is: 59,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087.81 : 103,632.80 = 42,822.49 : x
  2. Step 2: Convert to fraction form
    75,087.81/103,632.80 = 42,822.49/x
  3. Step 3: Cross multiply
    75,087.81x = 103,632.80 × 42,822.49
  4. Step 4: Simplify right side
    75,087.81x = 4,437,814,541.67
  5. Step 5: Solve for x
    x = 4,437,814,541.67/75,087.81
  6. Step 6: Final answer
    x = 59,101.66

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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.