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Finding the Fourth Proportional to 65,154.76, 89,858.07 and 50,083.90

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Solution

The fourth proportional to 65,154.76, 89,858.07 and 50,083.90 is: 69,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,154.76 : 89,858.07 = 50,083.90 : x
  2. Step 2: Convert to fraction form
    65,154.76/89,858.07 = 50,083.90/x
  3. Step 3: Cross multiply
    65,154.76x = 89,858.07 × 50,083.90
  4. Step 4: Simplify right side
    65,154.76x = 4,500,442,592.07
  5. Step 5: Solve for x
    x = 4,500,442,592.07/65,154.76
  6. Step 6: Final answer
    x = 69,073.12

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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.