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Finding the Fourth Proportional to 78,858, 118,282.68 and 32,150.16

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Solution

The fourth proportional to 78,858, 118,282.68 and 32,150.16 is: 48,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858 : 118,282.68 = 32,150.16 : x
  2. Step 2: Convert to fraction form
    78,858/118,282.68 = 32,150.16/x
  3. Step 3: Cross multiply
    78,858x = 118,282.68 × 32,150.16
  4. Step 4: Simplify right side
    78,858x = 3,802,807,087.23
  5. Step 5: Solve for x
    x = 3,802,807,087.23/78,858
  6. Step 6: Final answer
    x = 48,223.48

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