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Finding the Fourth Proportional to 76,242.44, 105,218.61 and 42,254.64

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Solution

The fourth proportional to 76,242.44, 105,218.61 and 42,254.64 is: 58,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,242.44 : 105,218.61 = 42,254.64 : x
  2. Step 2: Convert to fraction form
    76,242.44/105,218.61 = 42,254.64/x
  3. Step 3: Cross multiply
    76,242.44x = 105,218.61 × 42,254.64
  4. Step 4: Simplify right side
    76,242.44x = 4,445,974,486.85
  5. Step 5: Solve for x
    x = 4,445,974,486.85/76,242.44
  6. Step 6: Final answer
    x = 58,313.65

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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.