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Finding the Fourth Proportional to 210,058.34, 289,932.90 and 125,159

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Solution

The fourth proportional to 210,058.34, 289,932.90 and 125,159 is: 172,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,058.34 : 289,932.90 = 125,159 : x
  2. Step 2: Convert to fraction form
    210,058.34/289,932.90 = 125,159/x
  3. Step 3: Cross multiply
    210,058.34x = 289,932.90 × 125,159
  4. Step 4: Simplify right side
    210,058.34x = 36,287,711,831.10
  5. Step 5: Solve for x
    x = 36,287,711,831.10/210,058.34
  6. Step 6: Final answer
    x = 172,750.64

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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.