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Finding the Fourth Proportional to 233,018.72, 321,532.92 and 131,030

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Solution

The fourth proportional to 233,018.72, 321,532.92 and 131,030 is: 180,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,018.72 : 321,532.92 = 131,030 : x
  2. Step 2: Convert to fraction form
    233,018.72/321,532.92 = 131,030/x
  3. Step 3: Cross multiply
    233,018.72x = 321,532.92 × 131,030
  4. Step 4: Simplify right side
    233,018.72x = 42,130,458,507.60
  5. Step 5: Solve for x
    x = 42,130,458,507.60/233,018.72
  6. Step 6: Final answer
    x = 180,802.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.