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Finding the Fourth Proportional to 75,881.28, 104,715.54 and 41,889.74

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Solution

The fourth proportional to 75,881.28, 104,715.54 and 41,889.74 is: 57,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.28 : 104,715.54 = 41,889.74 : x
  2. Step 2: Convert to fraction form
    75,881.28/104,715.54 = 41,889.74/x
  3. Step 3: Cross multiply
    75,881.28x = 104,715.54 × 41,889.74
  4. Step 4: Simplify right side
    75,881.28x = 4,386,506,744.56
  5. Step 5: Solve for x
    x = 4,386,506,744.56/75,881.28
  6. Step 6: Final answer
    x = 57,807.50

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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.