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Finding the Fourth Proportional to 75,685.94, 103,690.26 and 72,848.33

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Solution

The fourth proportional to 75,685.94, 103,690.26 and 72,848.33 is: 99,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685.94 : 103,690.26 = 72,848.33 : x
  2. Step 2: Convert to fraction form
    75,685.94/103,690.26 = 72,848.33/x
  3. Step 3: Cross multiply
    75,685.94x = 103,690.26 × 72,848.33
  4. Step 4: Simplify right side
    75,685.94x = 7,553,662,278.27
  5. Step 5: Solve for x
    x = 7,553,662,278.27/75,685.94
  6. Step 6: Final answer
    x = 99,802.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.