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Finding the Fourth Proportional to 83,710.94, 115,441.80 and 54,980.04

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Solution

The fourth proportional to 83,710.94, 115,441.80 and 54,980.04 is: 75,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710.94 : 115,441.80 = 54,980.04 : x
  2. Step 2: Convert to fraction form
    83,710.94/115,441.80 = 54,980.04/x
  3. Step 3: Cross multiply
    83,710.94x = 115,441.80 × 54,980.04
  4. Step 4: Simplify right side
    83,710.94x = 6,346,994,341.91
  5. Step 5: Solve for x
    x = 6,346,994,341.91/83,710.94
  6. Step 6: Final answer
    x = 75,820.37

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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.