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Finding the Fourth Proportional to 78,302.62, 117,415.65 and 54,621.51

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Solution

The fourth proportional to 78,302.62, 117,415.65 and 54,621.51 is: 81,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.62 : 117,415.65 = 54,621.51 : x
  2. Step 2: Convert to fraction form
    78,302.62/117,415.65 = 54,621.51/x
  3. Step 3: Cross multiply
    78,302.62x = 117,415.65 × 54,621.51
  4. Step 4: Simplify right side
    78,302.62x = 6,413,420,100.63
  5. Step 5: Solve for x
    x = 6,413,420,100.63/78,302.62
  6. Step 6: Final answer
    x = 81,905.57

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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.