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Finding the Fourth Proportional to 190,881.21, 286,223.88 and 100,972.45

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Solution

The fourth proportional to 190,881.21, 286,223.88 and 100,972.45 is: 151,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,881.21 : 286,223.88 = 100,972.45 : x
  2. Step 2: Convert to fraction form
    190,881.21/286,223.88 = 100,972.45/x
  3. Step 3: Cross multiply
    190,881.21x = 286,223.88 × 100,972.45
  4. Step 4: Simplify right side
    190,881.21x = 28,900,727,480.23
  5. Step 5: Solve for x
    x = 28,900,727,480.23/190,881.21
  6. Step 6: Final answer
    x = 151,406.87

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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.