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Finding the Fourth Proportional to 231,365.76, 319,282.50 and 129,390.06

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Solution

The fourth proportional to 231,365.76, 319,282.50 and 129,390.06 is: 178,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,365.76 : 319,282.50 = 129,390.06 : x
  2. Step 2: Convert to fraction form
    231,365.76/319,282.50 = 129,390.06/x
  3. Step 3: Cross multiply
    231,365.76x = 319,282.50 × 129,390.06
  4. Step 4: Simplify right side
    231,365.76x = 41,311,981,831.95
  5. Step 5: Solve for x
    x = 41,311,981,831.95/231,365.76
  6. Step 6: Final answer
    x = 178,557.03

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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.