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Finding the Fourth Proportional to 78,482.70, 117,721.45 and 34,109.51

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Solution

The fourth proportional to 78,482.70, 117,721.45 and 34,109.51 is: 51,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.70 : 117,721.45 = 34,109.51 : x
  2. Step 2: Convert to fraction form
    78,482.70/117,721.45 = 34,109.51/x
  3. Step 3: Cross multiply
    78,482.70x = 117,721.45 × 34,109.51
  4. Step 4: Simplify right side
    78,482.70x = 4,015,420,302.11
  5. Step 5: Solve for x
    x = 4,015,420,302.11/78,482.70
  6. Step 6: Final answer
    x = 51,163.13

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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.