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Finding the Fourth Proportional to 76,659.30, 105,729.80 and 49,810.53

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Solution

The fourth proportional to 76,659.30, 105,729.80 and 49,810.53 is: 68,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,659.30 : 105,729.80 = 49,810.53 : x
  2. Step 2: Convert to fraction form
    76,659.30/105,729.80 = 49,810.53/x
  3. Step 3: Cross multiply
    76,659.30x = 105,729.80 × 49,810.53
  4. Step 4: Simplify right side
    76,659.30x = 5,266,457,374.79
  5. Step 5: Solve for x
    x = 5,266,457,374.79/76,659.30
  6. Step 6: Final answer
    x = 68,699.52

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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.