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Finding the Fourth Proportional to 230,071.20, 345,301.20 and 89,930.40

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Solution

The fourth proportional to 230,071.20, 345,301.20 and 89,930.40 is: 134,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,071.20 : 345,301.20 = 89,930.40 : x
  2. Step 2: Convert to fraction form
    230,071.20/345,301.20 = 89,930.40/x
  3. Step 3: Cross multiply
    230,071.20x = 345,301.20 × 89,930.40
  4. Step 4: Simplify right side
    230,071.20x = 31,053,075,036.48
  5. Step 5: Solve for x
    x = 31,053,075,036.48/230,071.20
  6. Step 6: Final answer
    x = 134,971.59

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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.