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Finding the Fourth Proportional to 77,123.30, 106,429.40 and 43,131.40

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Solution

The fourth proportional to 77,123.30, 106,429.40 and 43,131.40 is: 59,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,123.30 : 106,429.40 = 43,131.40 : x
  2. Step 2: Convert to fraction form
    77,123.30/106,429.40 = 43,131.40/x
  3. Step 3: Cross multiply
    77,123.30x = 106,429.40 × 43,131.40
  4. Step 4: Simplify right side
    77,123.30x = 4,590,449,023.16
  5. Step 5: Solve for x
    x = 4,590,449,023.16/77,123.30
  6. Step 6: Final answer
    x = 59,520.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.