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Finding the Fourth Proportional to 84,010.64, 115,934.32 and 45,770.06

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Solution

The fourth proportional to 84,010.64, 115,934.32 and 45,770.06 is: 63,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,010.64 : 115,934.32 = 45,770.06 : x
  2. Step 2: Convert to fraction form
    84,010.64/115,934.32 = 45,770.06/x
  3. Step 3: Cross multiply
    84,010.64x = 115,934.32 × 45,770.06
  4. Step 4: Simplify right side
    84,010.64x = 5,306,320,957.87
  5. Step 5: Solve for x
    x = 5,306,320,957.87/84,010.64
  6. Step 6: Final answer
    x = 63,162.49

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1.5x scale

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.