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Finding the Fourth Proportional to 65,881.86, 90,929.85 and 51,513.27

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Solution

The fourth proportional to 65,881.86, 90,929.85 and 51,513.27 is: 71,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,881.86 : 90,929.85 = 51,513.27 : x
  2. Step 2: Convert to fraction form
    65,881.86/90,929.85 = 51,513.27/x
  3. Step 3: Cross multiply
    65,881.86x = 90,929.85 × 51,513.27
  4. Step 4: Simplify right side
    65,881.86x = 4,684,093,914.11
  5. Step 5: Solve for x
    x = 4,684,093,914.11/65,881.86
  6. Step 6: Final answer
    x = 71,098.39

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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.