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Finding the Fourth Proportional to 113,370.90, 169,963.22 and 77,733.78

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Solution

The fourth proportional to 113,370.90, 169,963.22 and 77,733.78 is: 116,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,370.90 : 169,963.22 = 77,733.78 : x
  2. Step 2: Convert to fraction form
    113,370.90/169,963.22 = 77,733.78/x
  3. Step 3: Cross multiply
    113,370.90x = 169,963.22 × 77,733.78
  4. Step 4: Simplify right side
    113,370.90x = 13,211,883,551.57
  5. Step 5: Solve for x
    x = 13,211,883,551.57/113,370.90
  6. Step 6: Final answer
    x = 116,536.81

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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.