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Finding the Fourth Proportional to 77,508.48, 106,994.16 and 65,633.28

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Solution

The fourth proportional to 77,508.48, 106,994.16 and 65,633.28 is: 90,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,508.48 : 106,994.16 = 65,633.28 : x
  2. Step 2: Convert to fraction form
    77,508.48/106,994.16 = 65,633.28/x
  3. Step 3: Cross multiply
    77,508.48x = 106,994.16 × 65,633.28
  4. Step 4: Simplify right side
    77,508.48x = 7,022,377,661.64
  5. Step 5: Solve for x
    x = 7,022,377,661.64/77,508.48
  6. Step 6: Final answer
    x = 90,601.41

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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.