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Finding the Fourth Proportional to 77,105.88, 106,285.77 and 70,919.51

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Solution

The fourth proportional to 77,105.88, 106,285.77 and 70,919.51 is: 97,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.88 : 106,285.77 = 70,919.51 : x
  2. Step 2: Convert to fraction form
    77,105.88/106,285.77 = 70,919.51/x
  3. Step 3: Cross multiply
    77,105.88x = 106,285.77 × 70,919.51
  4. Step 4: Simplify right side
    77,105.88x = 7,537,734,196.94
  5. Step 5: Solve for x
    x = 7,537,734,196.94/77,105.88
  6. Step 6: Final answer
    x = 97,758.23

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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.