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Finding the Fourth Proportional to 117,860.86, 162,721.47 and 82,037.80

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Solution

The fourth proportional to 117,860.86, 162,721.47 and 82,037.80 is: 113,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,860.86 : 162,721.47 = 82,037.80 : x
  2. Step 2: Convert to fraction form
    117,860.86/162,721.47 = 82,037.80/x
  3. Step 3: Cross multiply
    117,860.86x = 162,721.47 × 82,037.80
  4. Step 4: Simplify right side
    117,860.86x = 13,349,311,411.57
  5. Step 5: Solve for x
    x = 13,349,311,411.57/117,860.86
  6. Step 6: Final answer
    x = 113,263.31

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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.