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Finding the Fourth Proportional to 190,639, 285,958.50 and 50,397.63

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Solution

The fourth proportional to 190,639, 285,958.50 and 50,397.63 is: 75,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,639 : 285,958.50 = 50,397.63 : x
  2. Step 2: Convert to fraction form
    190,639/285,958.50 = 50,397.63/x
  3. Step 3: Cross multiply
    190,639x = 285,958.50 × 50,397.63
  4. Step 4: Simplify right side
    190,639x = 14,411,630,678.36
  5. Step 5: Solve for x
    x = 14,411,630,678.36/190,639
  6. Step 6: Final answer
    x = 75,596.45

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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.