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Finding the Fourth Proportional to 78,950, 108,951 and 45,416

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Solution

The fourth proportional to 78,950, 108,951 and 45,416 is: 62,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,950 : 108,951 = 45,416 : x
  2. Step 2: Convert to fraction form
    78,950/108,951 = 45,416/x
  3. Step 3: Cross multiply
    78,950x = 108,951 × 45,416
  4. Step 4: Simplify right side
    78,950x = 4,948,118,616
  5. Step 5: Solve for x
    x = 4,948,118,616/78,950
  6. Step 6: Final answer
    x = 62,674.08

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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.