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Finding the Fourth Proportional to 76,837.76, 106,046.50 and 45,019.34

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Solution

The fourth proportional to 76,837.76, 106,046.50 and 45,019.34 is: 62,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,837.76 : 106,046.50 = 45,019.34 : x
  2. Step 2: Convert to fraction form
    76,837.76/106,046.50 = 45,019.34/x
  3. Step 3: Cross multiply
    76,837.76x = 106,046.50 × 45,019.34
  4. Step 4: Simplify right side
    76,837.76x = 4,774,143,170.28
  5. Step 5: Solve for x
    x = 4,774,143,170.28/76,837.76
  6. Step 6: Final answer
    x = 62,132.78

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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.