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Finding the Fourth Proportional to 78,607.51, 117,832.47 and 36,517.18

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Solution

The fourth proportional to 78,607.51, 117,832.47 and 36,517.18 is: 54,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,607.51 : 117,832.47 = 36,517.18 : x
  2. Step 2: Convert to fraction form
    78,607.51/117,832.47 = 36,517.18/x
  3. Step 3: Cross multiply
    78,607.51x = 117,832.47 × 36,517.18
  4. Step 4: Simplify right side
    78,607.51x = 4,302,909,516.83
  5. Step 5: Solve for x
    x = 4,302,909,516.83/78,607.51
  6. Step 6: Final answer
    x = 54,739.17

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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.