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Finding the Fourth Proportional to 43,238.70, 64,748.70 and 34,490.70

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Solution

The fourth proportional to 43,238.70, 64,748.70 and 34,490.70 is: 51,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,238.70 : 64,748.70 = 34,490.70 : x
  2. Step 2: Convert to fraction form
    43,238.70/64,748.70 = 34,490.70/x
  3. Step 3: Cross multiply
    43,238.70x = 64,748.70 × 34,490.70
  4. Step 4: Simplify right side
    43,238.70x = 2,233,227,987.09
  5. Step 5: Solve for x
    x = 2,233,227,987.09/43,238.70
  6. Step 6: Final answer
    x = 51,648.82

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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.