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Finding the Fourth Proportional to 78,303.62, 117,417.15 and 54,622.51

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Solution

The fourth proportional to 78,303.62, 117,417.15 and 54,622.51 is: 81,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,303.62 : 117,417.15 = 54,622.51 : x
  2. Step 2: Convert to fraction form
    78,303.62/117,417.15 = 54,622.51/x
  3. Step 3: Cross multiply
    78,303.62x = 117,417.15 × 54,622.51
  4. Step 4: Simplify right side
    78,303.62x = 6,413,619,450.05
  5. Step 5: Solve for x
    x = 6,413,619,450.05/78,303.62
  6. Step 6: Final answer
    x = 81,907.06

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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.