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Finding the Fourth Proportional to 161,618, 242,453.28 and 47,777.36

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Solution

The fourth proportional to 161,618, 242,453.28 and 47,777.36 is: 71,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,618 : 242,453.28 = 47,777.36 : x
  2. Step 2: Convert to fraction form
    161,618/242,453.28 = 47,777.36/x
  3. Step 3: Cross multiply
    161,618x = 242,453.28 × 47,777.36
  4. Step 4: Simplify right side
    161,618x = 11,583,777,641.74
  5. Step 5: Solve for x
    x = 11,583,777,641.74/161,618
  6. Step 6: Final answer
    x = 71,673.81

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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.