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Finding the Fourth Proportional to 190,860.40, 286,582.20 and 146,537.20

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Solution

The fourth proportional to 190,860.40, 286,582.20 and 146,537.20 is: 220,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,860.40 : 286,582.20 = 146,537.20 : x
  2. Step 2: Convert to fraction form
    190,860.40/286,582.20 = 146,537.20/x
  3. Step 3: Cross multiply
    190,860.40x = 286,582.20 × 146,537.20
  4. Step 4: Simplify right side
    190,860.40x = 41,994,953,157.84
  5. Step 5: Solve for x
    x = 41,994,953,157.84/190,860.40
  6. Step 6: Final answer
    x = 220,029.68

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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.