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Finding the Fourth Proportional to 84,170.58, 116,155.72 and 45,930.98

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Solution

The fourth proportional to 84,170.58, 116,155.72 and 45,930.98 is: 63,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170.58 : 116,155.72 = 45,930.98 : x
  2. Step 2: Convert to fraction form
    84,170.58/116,155.72 = 45,930.98/x
  3. Step 3: Cross multiply
    84,170.58x = 116,155.72 × 45,930.98
  4. Step 4: Simplify right side
    84,170.58x = 5,335,146,400.01
  5. Step 5: Solve for x
    x = 5,335,146,400.01/84,170.58
  6. Step 6: Final answer
    x = 63,384.93

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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.