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Finding the Fourth Proportional to 230,349.40, 345,541.59 and 78,499.28

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Solution

The fourth proportional to 230,349.40, 345,541.59 and 78,499.28 is: 117,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,349.40 : 345,541.59 = 78,499.28 : x
  2. Step 2: Convert to fraction form
    230,349.40/345,541.59 = 78,499.28/x
  3. Step 3: Cross multiply
    230,349.40x = 345,541.59 × 78,499.28
  4. Step 4: Simplify right side
    230,349.40x = 27,124,766,888.91
  5. Step 5: Solve for x
    x = 27,124,766,888.91/230,349.40
  6. Step 6: Final answer
    x = 117,754.89

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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.