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Finding the Fourth Proportional to 78,847.50, 108,813.99 and 45,315.66

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Solution

The fourth proportional to 78,847.50, 108,813.99 and 45,315.66 is: 62,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,847.50 : 108,813.99 = 45,315.66 : x
  2. Step 2: Convert to fraction form
    78,847.50/108,813.99 = 45,315.66/x
  3. Step 3: Cross multiply
    78,847.50x = 108,813.99 × 45,315.66
  4. Step 4: Simplify right side
    78,847.50x = 4,930,977,774.08
  5. Step 5: Solve for x
    x = 4,930,977,774.08/78,847.50
  6. Step 6: Final answer
    x = 62,538.16

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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.