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Finding the Fourth Proportional to 77,356.29, 116,034.54 and 21,196.90

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Solution

The fourth proportional to 77,356.29, 116,034.54 and 21,196.90 is: 31,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.29 : 116,034.54 = 21,196.90 : x
  2. Step 2: Convert to fraction form
    77,356.29/116,034.54 = 21,196.90/x
  3. Step 3: Cross multiply
    77,356.29x = 116,034.54 × 21,196.90
  4. Step 4: Simplify right side
    77,356.29x = 2,459,572,540.93
  5. Step 5: Solve for x
    x = 2,459,572,540.93/77,356.29
  6. Step 6: Final answer
    x = 31,795.38

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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.