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Finding the Fourth Proportional to 161,600, 242,426.26 and 47,759.36

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Solution

The fourth proportional to 161,600, 242,426.26 and 47,759.36 is: 71,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,600 : 242,426.26 = 47,759.36 : x
  2. Step 2: Convert to fraction form
    161,600/242,426.26 = 47,759.36/x
  3. Step 3: Cross multiply
    161,600x = 242,426.26 × 47,759.36
  4. Step 4: Simplify right side
    161,600x = 11,578,123,024.79
  5. Step 5: Solve for x
    x = 11,578,123,024.79/161,600
  6. Step 6: Final answer
    x = 71,646.80

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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.