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Finding the Fourth Proportional to 55,509.53, 76,509.85 and 42,076.49

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Solution

The fourth proportional to 55,509.53, 76,509.85 and 42,076.49 is: 57,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.53 : 76,509.85 = 42,076.49 : x
  2. Step 2: Convert to fraction form
    55,509.53/76,509.85 = 42,076.49/x
  3. Step 3: Cross multiply
    55,509.53x = 76,509.85 × 42,076.49
  4. Step 4: Simplify right side
    55,509.53x = 3,219,265,938.43
  5. Step 5: Solve for x
    x = 3,219,265,938.43/55,509.53
  6. Step 6: Final answer
    x = 57,994.83

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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.