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Finding the Fourth Proportional to 219,405.21, 328,859.01 and 100,831.52

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Solution

The fourth proportional to 219,405.21, 328,859.01 and 100,831.52 is: 151,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,405.21 : 328,859.01 = 100,831.52 : x
  2. Step 2: Convert to fraction form
    219,405.21/328,859.01 = 100,831.52/x
  3. Step 3: Cross multiply
    219,405.21x = 328,859.01 × 100,831.52
  4. Step 4: Simplify right side
    219,405.21x = 33,159,352,199.70
  5. Step 5: Solve for x
    x = 33,159,352,199.70/219,405.21
  6. Step 6: Final answer
    x = 151,132.93

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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.