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Finding the Fourth Proportional to 77,288.76, 106,758.54 and 63,914.04

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Solution

The fourth proportional to 77,288.76, 106,758.54 and 63,914.04 is: 88,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,288.76 : 106,758.54 = 63,914.04 : x
  2. Step 2: Convert to fraction form
    77,288.76/106,758.54 = 63,914.04/x
  3. Step 3: Cross multiply
    77,288.76x = 106,758.54 × 63,914.04
  4. Step 4: Simplify right side
    77,288.76x = 6,823,369,595.90
  5. Step 5: Solve for x
    x = 6,823,369,595.90/77,288.76
  6. Step 6: Final answer
    x = 88,284.11

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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.