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Finding the Fourth Proportional to 52,430.68, 78,645.84 and 21,265.84

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Solution

The fourth proportional to 52,430.68, 78,645.84 and 21,265.84 is: 31,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430.68 : 78,645.84 = 21,265.84 : x
  2. Step 2: Convert to fraction form
    52,430.68/78,645.84 = 21,265.84/x
  3. Step 3: Cross multiply
    52,430.68x = 78,645.84 × 21,265.84
  4. Step 4: Simplify right side
    52,430.68x = 1,672,469,850.11
  5. Step 5: Solve for x
    x = 1,672,469,850.11/52,430.68
  6. Step 6: Final answer
    x = 31,898.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.