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Finding the Fourth Proportional to 77,653.38, 106,897.21 and 57,472.23

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Solution

The fourth proportional to 77,653.38, 106,897.21 and 57,472.23 is: 79,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653.38 : 106,897.21 = 57,472.23 : x
  2. Step 2: Convert to fraction form
    77,653.38/106,897.21 = 57,472.23/x
  3. Step 3: Cross multiply
    77,653.38x = 106,897.21 × 57,472.23
  4. Step 4: Simplify right side
    77,653.38x = 6,143,621,039.48
  5. Step 5: Solve for x
    x = 6,143,621,039.48/77,653.38
  6. Step 6: Final answer
    x = 79,115.95

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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.