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Finding the Fourth Proportional to 77,122.10, 115,640.16 and 23,798.94

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Solution

The fourth proportional to 77,122.10, 115,640.16 and 23,798.94 is: 35,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122.10 : 115,640.16 = 23,798.94 : x
  2. Step 2: Convert to fraction form
    77,122.10/115,640.16 = 23,798.94/x
  3. Step 3: Cross multiply
    77,122.10x = 115,640.16 × 23,798.94
  4. Step 4: Simplify right side
    77,122.10x = 2,752,113,229.43
  5. Step 5: Solve for x
    x = 2,752,113,229.43/77,122.10
  6. Step 6: Final answer
    x = 35,685.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.