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Finding the Fourth Proportional to 86,693.76, 130,144.32 and 51,649.92

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Solution

The fourth proportional to 86,693.76, 130,144.32 and 51,649.92 is: 77,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,693.76 : 130,144.32 = 51,649.92 : x
  2. Step 2: Convert to fraction form
    86,693.76/130,144.32 = 51,649.92/x
  3. Step 3: Cross multiply
    86,693.76x = 130,144.32 × 51,649.92
  4. Step 4: Simplify right side
    86,693.76x = 6,721,943,716.45
  5. Step 5: Solve for x
    x = 6,721,943,716.45/86,693.76
  6. Step 6: Final answer
    x = 77,536.65

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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.