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Finding the Fourth Proportional to 65,001.25, 97,489.54 and 31,687.81

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Solution

The fourth proportional to 65,001.25, 97,489.54 and 31,687.81 is: 47,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.25 : 97,489.54 = 31,687.81 : x
  2. Step 2: Convert to fraction form
    65,001.25/97,489.54 = 31,687.81/x
  3. Step 3: Cross multiply
    65,001.25x = 97,489.54 × 31,687.81
  4. Step 4: Simplify right side
    65,001.25x = 3,089,230,020.51
  5. Step 5: Solve for x
    x = 3,089,230,020.51/65,001.25
  6. Step 6: Final answer
    x = 47,525.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.