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Finding the Fourth Proportional to 77,323.25, 106,704.28 and 45,494.21

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Solution

The fourth proportional to 77,323.25, 106,704.28 and 45,494.21 is: 62,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.25 : 106,704.28 = 45,494.21 : x
  2. Step 2: Convert to fraction form
    77,323.25/106,704.28 = 45,494.21/x
  3. Step 3: Cross multiply
    77,323.25x = 106,704.28 × 45,494.21
  4. Step 4: Simplify right side
    77,323.25x = 4,854,426,922.22
  5. Step 5: Solve for x
    x = 4,854,426,922.22/77,323.25
  6. Step 6: Final answer
    x = 62,780.95

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1.5x scale

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.