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Finding the Fourth Proportional to 77,135.76, 115,718.13 and 35,018.82

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Solution

The fourth proportional to 77,135.76, 115,718.13 and 35,018.82 is: 52,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,135.76 : 115,718.13 = 35,018.82 : x
  2. Step 2: Convert to fraction form
    77,135.76/115,718.13 = 35,018.82/x
  3. Step 3: Cross multiply
    77,135.76x = 115,718.13 × 35,018.82
  4. Step 4: Simplify right side
    77,135.76x = 4,052,312,365.21
  5. Step 5: Solve for x
    x = 4,052,312,365.21/77,135.76
  6. Step 6: Final answer
    x = 52,534.81

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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.