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Finding the Fourth Proportional to 76,836.48, 106,060.80 and 45,015.68

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Solution

The fourth proportional to 76,836.48, 106,060.80 and 45,015.68 is: 62,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,836.48 : 106,060.80 = 45,015.68 : x
  2. Step 2: Convert to fraction form
    76,836.48/106,060.80 = 45,015.68/x
  3. Step 3: Cross multiply
    76,836.48x = 106,060.80 × 45,015.68
  4. Step 4: Simplify right side
    76,836.48x = 4,774,399,033.34
  5. Step 5: Solve for x
    x = 4,774,399,033.34/76,836.48
  6. Step 6: Final answer
    x = 62,137.14

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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.