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Finding the Fourth Proportional to 77,063.77, 115,603.35 and 20,904.81

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Solution

The fourth proportional to 77,063.77, 115,603.35 and 20,904.81 is: 31,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,063.77 : 115,603.35 = 20,904.81 : x
  2. Step 2: Convert to fraction form
    77,063.77/115,603.35 = 20,904.81/x
  3. Step 3: Cross multiply
    77,063.77x = 115,603.35 × 20,904.81
  4. Step 4: Simplify right side
    77,063.77x = 2,416,666,067.11
  5. Step 5: Solve for x
    x = 2,416,666,067.11/77,063.77
  6. Step 6: Final answer
    x = 31,359.30

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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.