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Finding the Fourth Proportional to 77,838.84, 107,465.22 and 50,640.75

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Solution

The fourth proportional to 77,838.84, 107,465.22 and 50,640.75 is: 69,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,838.84 : 107,465.22 = 50,640.75 : x
  2. Step 2: Convert to fraction form
    77,838.84/107,465.22 = 50,640.75/x
  3. Step 3: Cross multiply
    77,838.84x = 107,465.22 × 50,640.75
  4. Step 4: Simplify right side
    77,838.84x = 5,442,119,339.72
  5. Step 5: Solve for x
    x = 5,442,119,339.72/77,838.84
  6. Step 6: Final answer
    x = 69,915.22

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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.