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Finding the Fourth Proportional to 117,357.49, 161,953.43 and 63,642.50

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Solution

The fourth proportional to 117,357.49, 161,953.43 and 63,642.50 is: 87,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,357.49 : 161,953.43 = 63,642.50 : x
  2. Step 2: Convert to fraction form
    117,357.49/161,953.43 = 63,642.50/x
  3. Step 3: Cross multiply
    117,357.49x = 161,953.43 × 63,642.50
  4. Step 4: Simplify right side
    117,357.49x = 10,307,121,168.78
  5. Step 5: Solve for x
    x = 10,307,121,168.78/117,357.49
  6. Step 6: Final answer
    x = 87,826.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.