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Finding the Fourth Proportional to 77,223.78, 115,860.51 and 35,118.90

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Solution

The fourth proportional to 77,223.78, 115,860.51 and 35,118.90 is: 52,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,223.78 : 115,860.51 = 35,118.90 : x
  2. Step 2: Convert to fraction form
    77,223.78/115,860.51 = 35,118.90/x
  3. Step 3: Cross multiply
    77,223.78x = 115,860.51 × 35,118.90
  4. Step 4: Simplify right side
    77,223.78x = 4,068,893,664.64
  5. Step 5: Solve for x
    x = 4,068,893,664.64/77,223.78
  6. Step 6: Final answer
    x = 52,689.65

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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.