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Finding the Fourth Proportional to 86,690.50, 130,062.33 and 77,749.33

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Solution

The fourth proportional to 86,690.50, 130,062.33 and 77,749.33 is: 116,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,690.50 : 130,062.33 = 77,749.33 : x
  2. Step 2: Convert to fraction form
    86,690.50/130,062.33 = 77,749.33/x
  3. Step 3: Cross multiply
    86,690.50x = 130,062.33 × 77,749.33
  4. Step 4: Simplify right side
    86,690.50x = 10,112,259,015.74
  5. Step 5: Solve for x
    x = 10,112,259,015.74/86,690.50
  6. Step 6: Final answer
    x = 116,647.83

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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.