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Finding the Fourth Proportional to 76,243.52, 105,159.84 and 52,374.08

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Solution

The fourth proportional to 76,243.52, 105,159.84 and 52,374.08 is: 72,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,243.52 : 105,159.84 = 52,374.08 : x
  2. Step 2: Convert to fraction form
    76,243.52/105,159.84 = 52,374.08/x
  3. Step 3: Cross multiply
    76,243.52x = 105,159.84 × 52,374.08
  4. Step 4: Simplify right side
    76,243.52x = 5,507,649,872.95
  5. Step 5: Solve for x
    x = 5,507,649,872.95/76,243.52
  6. Step 6: Final answer
    x = 72,237.61

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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.