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Finding the Fourth Proportional to 81,482.26, 112,461.33 and 53,138.74

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Solution

The fourth proportional to 81,482.26, 112,461.33 and 53,138.74 is: 73,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,482.26 : 112,461.33 = 53,138.74 : x
  2. Step 2: Convert to fraction form
    81,482.26/112,461.33 = 53,138.74/x
  3. Step 3: Cross multiply
    81,482.26x = 112,461.33 × 53,138.74
  4. Step 4: Simplify right side
    81,482.26x = 5,976,053,374.92
  5. Step 5: Solve for x
    x = 5,976,053,374.92/81,482.26
  6. Step 6: Final answer
    x = 73,341.77

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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.