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Finding the Fourth Proportional to 77,314.88, 106,684.58 and 45,472.16

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Solution

The fourth proportional to 77,314.88, 106,684.58 and 45,472.16 is: 62,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.88 : 106,684.58 = 45,472.16 : x
  2. Step 2: Convert to fraction form
    77,314.88/106,684.58 = 45,472.16/x
  3. Step 3: Cross multiply
    77,314.88x = 106,684.58 × 45,472.16
  4. Step 4: Simplify right side
    77,314.88x = 4,851,178,063.93
  5. Step 5: Solve for x
    x = 4,851,178,063.93/77,314.88
  6. Step 6: Final answer
    x = 62,745.72

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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.