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Finding the Fourth Proportional to 117,837.78, 176,409.37 and 77,782.87

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Solution

The fourth proportional to 117,837.78, 176,409.37 and 77,782.87 is: 116,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,837.78 : 176,409.37 = 77,782.87 : x
  2. Step 2: Convert to fraction form
    117,837.78/176,409.37 = 77,782.87/x
  3. Step 3: Cross multiply
    117,837.78x = 176,409.37 × 77,782.87
  4. Step 4: Simplify right side
    117,837.78x = 13,721,627,093.49
  5. Step 5: Solve for x
    x = 13,721,627,093.49/117,837.78
  6. Step 6: Final answer
    x = 116,445.06

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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.