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Finding the Fourth Proportional to 161,548.41, 242,322.72 and 77,288.77

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Solution

The fourth proportional to 161,548.41, 242,322.72 and 77,288.77 is: 115,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,548.41 : 242,322.72 = 77,288.77 : x
  2. Step 2: Convert to fraction form
    161,548.41/242,322.72 = 77,288.77/x
  3. Step 3: Cross multiply
    161,548.41x = 242,322.72 × 77,288.77
  4. Step 4: Simplify right side
    161,548.41x = 18,728,824,971.85
  5. Step 5: Solve for x
    x = 18,728,824,971.85/161,548.41
  6. Step 6: Final answer
    x = 115,933.21

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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.