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Finding the Fourth Proportional to 233,113.32, 321,695.92 and 131,138.88

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Solution

The fourth proportional to 233,113.32, 321,695.92 and 131,138.88 is: 180,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,113.32 : 321,695.92 = 131,138.88 : x
  2. Step 2: Convert to fraction form
    233,113.32/321,695.92 = 131,138.88/x
  3. Step 3: Cross multiply
    233,113.32x = 321,695.92 × 131,138.88
  4. Step 4: Simplify right side
    233,113.32x = 42,186,842,649.37
  5. Step 5: Solve for x
    x = 42,186,842,649.37/233,113.32
  6. Step 6: Final answer
    x = 180,971.39

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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.