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Finding the Fourth Proportional to 76,916.76, 115,388.69 and 26,303.89

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Solution

The fourth proportional to 76,916.76, 115,388.69 and 26,303.89 is: 39,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,916.76 : 115,388.69 = 26,303.89 : x
  2. Step 2: Convert to fraction form
    76,916.76/115,388.69 = 26,303.89/x
  3. Step 3: Cross multiply
    76,916.76x = 115,388.69 × 26,303.89
  4. Step 4: Simplify right side
    76,916.76x = 3,035,171,205.37
  5. Step 5: Solve for x
    x = 3,035,171,205.37/76,916.76
  6. Step 6: Final answer
    x = 39,460.47

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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.