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Finding the Fourth Proportional to 190,709.80, 286,064.70 and 146,559.40

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Solution

The fourth proportional to 190,709.80, 286,064.70 and 146,559.40 is: 219,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,709.80 : 286,064.70 = 146,559.40 : x
  2. Step 2: Convert to fraction form
    190,709.80/286,064.70 = 146,559.40/x
  3. Step 3: Cross multiply
    190,709.80x = 286,064.70 × 146,559.40
  4. Step 4: Simplify right side
    190,709.80x = 41,925,470,793.18
  5. Step 5: Solve for x
    x = 41,925,470,793.18/190,709.80
  6. Step 6: Final answer
    x = 219,839.10

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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.