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Finding the Fourth Proportional to 55,548, 76,563 and 42,114.96

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Solution

The fourth proportional to 55,548, 76,563 and 42,114.96 is: 58,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,548 : 76,563 = 42,114.96 : x
  2. Step 2: Convert to fraction form
    55,548/76,563 = 42,114.96/x
  3. Step 3: Cross multiply
    55,548x = 76,563 × 42,114.96
  4. Step 4: Simplify right side
    55,548x = 3,224,447,682.48
  5. Step 5: Solve for x
    x = 3,224,447,682.48/55,548
  6. Step 6: Final answer
    x = 58,047.95

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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.