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Finding the Fourth Proportional to 81,495.80, 112,488.10 and 53,205.72

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Solution

The fourth proportional to 81,495.80, 112,488.10 and 53,205.72 is: 73,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,495.80 : 112,488.10 = 53,205.72 : x
  2. Step 2: Convert to fraction form
    81,495.80/112,488.10 = 53,205.72/x
  3. Step 3: Cross multiply
    81,495.80x = 112,488.10 × 53,205.72
  4. Step 4: Simplify right side
    81,495.80x = 5,985,010,351.93
  5. Step 5: Solve for x
    x = 5,985,010,351.93/81,495.80
  6. Step 6: Final answer
    x = 73,439.49

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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.