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Finding the Fourth Proportional to 86,804, 129,993.65 and 78,389.52

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Solution

The fourth proportional to 86,804, 129,993.65 and 78,389.52 is: 117,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,804 : 129,993.65 = 78,389.52 : x
  2. Step 2: Convert to fraction form
    86,804/129,993.65 = 78,389.52/x
  3. Step 3: Cross multiply
    86,804x = 129,993.65 × 78,389.52
  4. Step 4: Simplify right side
    86,804x = 10,190,139,826.55
  5. Step 5: Solve for x
    x = 10,190,139,826.55/86,804
  6. Step 6: Final answer
    x = 117,392.51

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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.