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Finding the Fourth Proportional to 230,349.15, 345,541.22 and 78,499.04

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Solution

The fourth proportional to 230,349.15, 345,541.22 and 78,499.04 is: 117,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,349.15 : 345,541.22 = 78,499.04 : x
  2. Step 2: Convert to fraction form
    230,349.15/345,541.22 = 78,499.04/x
  3. Step 3: Cross multiply
    230,349.15x = 345,541.22 × 78,499.04
  4. Step 4: Simplify right side
    230,349.15x = 27,124,652,322.72
  5. Step 5: Solve for x
    x = 27,124,652,322.72/230,349.15
  6. Step 6: Final answer
    x = 117,754.51

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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.