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Finding the Fourth Proportional to 190,894.40, 286,633.20 and 146,571.20

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Solution

The fourth proportional to 190,894.40, 286,633.20 and 146,571.20 is: 220,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,894.40 : 286,633.20 = 146,571.20 : x
  2. Step 2: Convert to fraction form
    190,894.40/286,633.20 = 146,571.20/x
  3. Step 3: Cross multiply
    190,894.40x = 286,633.20 × 146,571.20
  4. Step 4: Simplify right side
    190,894.40x = 42,012,172,083.84
  5. Step 5: Solve for x
    x = 42,012,172,083.84/190,894.40
  6. Step 6: Final answer
    x = 220,080.69

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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.