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Finding the Fourth Proportional to 115,806.51, 173,531.16 and 78,219.27

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Solution

The fourth proportional to 115,806.51, 173,531.16 and 78,219.27 is: 117,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806.51 : 173,531.16 = 78,219.27 : x
  2. Step 2: Convert to fraction form
    115,806.51/173,531.16 = 78,219.27/x
  3. Step 3: Cross multiply
    115,806.51x = 173,531.16 × 78,219.27
  4. Step 4: Simplify right side
    115,806.51x = 13,573,480,657.45
  5. Step 5: Solve for x
    x = 13,573,480,657.45/115,806.51
  6. Step 6: Final answer
    x = 117,208.27

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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.