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Finding the Fourth Proportional to 77,141.77, 115,671.04 and 34,998.86

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Solution

The fourth proportional to 77,141.77, 115,671.04 and 34,998.86 is: 52,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.77 : 115,671.04 = 34,998.86 : x
  2. Step 2: Convert to fraction form
    77,141.77/115,671.04 = 34,998.86/x
  3. Step 3: Cross multiply
    77,141.77x = 115,671.04 × 34,998.86
  4. Step 4: Simplify right side
    77,141.77x = 4,048,353,956.66
  5. Step 5: Solve for x
    x = 4,048,353,956.66/77,141.77
  6. Step 6: Final answer
    x = 52,479.41

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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.