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Finding the Fourth Proportional to 75,102.76, 103,583.94 and 52,434.28

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Solution

The fourth proportional to 75,102.76, 103,583.94 and 52,434.28 is: 72,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.76 : 103,583.94 = 52,434.28 : x
  2. Step 2: Convert to fraction form
    75,102.76/103,583.94 = 52,434.28/x
  3. Step 3: Cross multiply
    75,102.76x = 103,583.94 × 52,434.28
  4. Step 4: Simplify right side
    75,102.76x = 5,431,349,313.46
  5. Step 5: Solve for x
    x = 5,431,349,313.46/75,102.76
  6. Step 6: Final answer
    x = 72,318.90

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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.