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Finding the Fourth Proportional to 77,323.12, 106,715.78 and 45,494.96

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Solution

The fourth proportional to 77,323.12, 106,715.78 and 45,494.96 is: 62,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.12 : 106,715.78 = 45,494.96 : x
  2. Step 2: Convert to fraction form
    77,323.12/106,715.78 = 45,494.96/x
  3. Step 3: Cross multiply
    77,323.12x = 106,715.78 × 45,494.96
  4. Step 4: Simplify right side
    77,323.12x = 4,855,030,142.47
  5. Step 5: Solve for x
    x = 4,855,030,142.47/77,323.12
  6. Step 6: Final answer
    x = 62,788.85

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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.